132 (number)

Short description: Natural number

← 131 132 133 →
← 130 131 132 133 134 135 136 137 138 139 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred thirty-two
Ordinal	132nd (one hundred thirty-second)
Factorization	22 × 3 × 11
Divisors	1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greek numeral	ΡΛΒ´
Roman numeral	CXXXII
Binary	100001002
Ternary	112203
Quaternary	20104
Quinary	10125
Senary	3406
Octal	2048
Duodecimal	B012
Hexadecimal	8416
Vigesimal	6C20
Base 36	3O36

132 (one hundred [and] thirty-two) is the natural number following 131 and preceding 133.

In mathematics

132 is the sixth Catalan number. It is a pronic number, the product of 11 and 12. As it has 12 divisors total, 132 is a refactorable number.

Adding all two-digit permutation subsets of 132 yields the same number:

[math]\displaystyle{ 12 + 13 + 21 + 23 + 31 + 32 = 132 }[/math].

132 is the smallest number in decimal with this property, which is shared by 264, 396 and 35964 (see digit-reassembly number).

The number of irreducible trees with fifteen vertices is 132.

The exceptional outer automorphism of symmetric group S₆ uniquely maps vertices to factorizations and edges to partitions in the graph factors of the complete graph with six vertices (and fifteen edges) K₆, which yields 132 blocks in Steiner system S(5,6,12).

In other fields

132 is also:

• OGLE-TR-132 is a magnitude 15.72 star in the star fields of the constellation Carina
• 132 Aethra is a M-type main belt asteroid
• Sonnet 132 by William Shakespeare
• The number of columns of a line printer printing in landscape mode on 14-inch paper.
• Refers to the Yo Soy 132 movement to vote in 2012 Mexican elections against PRI candidate Enrique Peña Nieto.

See also

• The year AD 132 or 132 BC
• List of highways numbered 132