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132 (one hundred ndthirty-two) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...
following
131 131 may refer to: *131 (number) *AD 131 *131 BC *131 (album), the album by Emarosa *131 (MBTA bus), the Massachusetts Bay Transportation Authority bus. For the MBTA bus, see 131 (MBTA bus). *131 (New Jersey bus), the New Jersey Transit bus {{numbe ...
and preceding
133 133 may refer to: *133 (number) * AD 133 *133 BC *133 (song) *133 (New Jersey bus) 133 may refer to: *133 (number) * AD 133 *133 BC *133 (song) 133 may refer to: *133 (number) *AD 133 *133 BC *133 (song) *133 (New Jersey bus) 133 may refer to: * ...
.


In mathematics

132 is the sixth
Catalan number In combinatorial mathematics, the Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Cata ...
. It is a
pronic number A pronic number is a number that is the product of two consecutive integers, that is, a number of the form n(n+1).. The study of these numbers dates back to Aristotle. They are also called oblong numbers, heteromecic numbers,. or rectangular number ...
, the product of 11 and 12. As it has 12 divisors total, 132 is a
refactorable number A refactorable number or tau number is an integer ''n'' that is divisible by the count of its divisors, or to put it algebraically, ''n'' is such that \tau(n)\mid n. The first few refactorable numbers are listed in as : 1, 2, 8, 9, 12, 18, ...
. If you take the sum of all 2-digit numbers you can make from 132, you get 132: 12 + 13 + 21 + 23 + 31 + 32 = 132. 132 is the smallest number with this property, which is shared by 264, 396 and 35964 (see digit-reassembly number). The exceptional
outer automorphism In mathematics, the outer automorphism group of a group, , is the quotient, , where is the automorphism group of and ) is the subgroup consisting of inner automorphisms. The outer automorphism group is usually denoted . If is trivial and has a t ...
of
symmetric group In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group \m ...
''S''6 uniquely maps vertices to factorizations and edges to partitions in the graph factors of the
complete graph In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is c ...
''K''6, which yields 132 blocks in
Steiner system 250px, thumbnail, The Fano plane is a Steiner triple system S(2,3,7). The blocks are the 7 lines, each containing 3 points. Every pair of points belongs to a unique line. In combinatorial mathematics, a Steiner system (named after Jakob Steiner) ...
S(5,6,12).


In other fields

132 is also: * The year
AD 132 Year 132 ( CXXXII) was a leap year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Serius and Sergianus (or, less frequently, year 885 ''Ab urbe condita ...
or
132 BC __NOTOC__ Year 132 BC was a year of the Roman calendar, pre-Julian Roman calendar. At the time it was known as the Year of the Consulship of Laenas and Rupilius (or, less frequently, year 622 ''Ab urbe condita'') and the Third Year of Yuanguang. ...
* 132 AH is a year in the
Islamic calendar The Hijri calendar ( ar, ٱلتَّقْوِيم ٱلْهِجْرِيّ, translit=al-taqwīm al-hijrī), also known in English as the Muslim calendar and Islamic calendar, is a lunar calendar consisting of 12 lunar months in a year of 354 or ...
that corresponds to 749 – 750 CE * OGLE-TR-132 is a
magnitude Magnitude may refer to: Mathematics *Euclidean vector, a quantity defined by both its magnitude and its direction *Magnitude (mathematics), the relative size of an object *Norm (mathematics), a term for the size or length of a vector *Order of ...
15.72 star in the star fields of the
constellation A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object. The origins of the e ...
Carina Carina may refer to: Places Australia * Carina, Queensland, a suburb in Brisbane * Carina Heights, Queensland, a suburb in Brisbane * Carina, Victoria, a locality in Mildura Serbia * Carina, Osečina, a village in the Kolubara District ...
*
132 Aethra Aethra ( minor planet designation: 132 Aethra) is a metallic asteroid and Mars-crosser on an eccentric orbit from the asteroid belt. It measures approximately 40 kilometers in diameter. It was discovered by James Craig Watson in 1873 and is the ...
is a M-type
main belt The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars. It contains a great many solid, irregularly shaped bodies, of many sizes, but much smaller than planets, called ...
asteroid An asteroid is a minor planet of the inner Solar System. Sizes and shapes of asteroids vary significantly, ranging from 1-meter rocks to a dwarf planet almost 1000 km in diameter; they are rocky, metallic or icy bodies with no atmosphere. ...
*
Sonnet 132 Sonnet 132 is one of Shakespeare's sonnets, 154 sonnets written by the English playwright and poet William Shakespeare. Structure Sonnet 132 is an English or Shakespearean sonnet. The English sonnet has three quatrains, followed by a final rhym ...
by
William Shakespeare William Shakespeare ( 26 April 1564 – 23 April 1616) was an English playwright, poet and actor. He is widely regarded as the greatest writer in the English language and the world's pre-eminent dramatist. He is often called England's nation ...
* 132 is the fire
emergency telephone number Most public switched telephone networks have a single emergency telephone number (sometimes known as the universal emergency telephone number or the emergency services number) that allows a caller to contact local emergency services for assista ...
in
Chile Chile, officially the Republic of Chile, is a country in the western part of South America. It is the southernmost country in the world, and the closest to Antarctica, occupying a long and narrow strip of land between the Andes to the east a ...
* 132 Street is a
thoroughfare A thoroughfare is a primary passage or way as a transit route through regularly trafficked areas, whether by road on dry land or, by extension, via watercraft or aircraft. On land, a thoroughfare may refer to anything from a multi-lane highway ...
in
Harlem Harlem is a neighborhood in Upper Manhattan, New York City. It is bounded roughly by the Hudson River on the west; the Harlem River and 155th Street (Manhattan), 155th Street on the north; Fifth Avenue on the east; and 110th Street (Manhattan), ...
,
New York City New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the L ...
* The number of columns of a
line printer A line printer prints one entire line of text before advancing to another line. Most early line printers were impact printers. Line printers are mostly associated with unit record equipment and the early days of digital computing, but the ...
printing in landscape mode on 14-inch paper. * Refers to the
Yo Soy 132 Yo Soy 132, commonly stylized as #YoSoy132, was a protest movement composed of Mexican university students from both private and public universities, residents of Mexico, claiming supporters from about 50 cities around the world. It began as op ...
movement to vote in 2012 Mexican elections against PRI candidate
Enrique Peña Nieto Enrique Peña Nieto (; born 20 July 1966), commonly referred to by his initials EPN, is a Mexican politician who served as the 64th president of Mexico from 1 December 2012 to 30 November 2018. A member of the Institutional Revolutionary Party ...
.


See also

*
List of highways numbered 132 The following highways are numbered 132: Australia * Wilmot Road (Tasmania) * Bells Blvd (Victoria) Canada * New Brunswick Route 132 * Ontario Highway 132 * Prince Edward Island Route 132 * Quebec Route 132 Costa Rica * National Route 1 ...
* United Nations Security Council Resolution 132 *
House at 132 Baltic Circle The House at 132 Baltic Circle is a historic home in the Davis Islands neighborhood of Tampa, Florida, United States. It is located at 132 Baltic Circle. On August 3, 1989, it was added to the U.S. National Register of Historic Places Th ...


References

{{DEFAULTSORT:132 (Number) Integers