Английская Википедия:132 (number)

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

In mathematics

132 is the sixth Catalan number.[1] 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>12 + 13 + 21 + 23 + 31 + 32 = 132</math>.

132 is the smallest number in decimal with this property,[2] which is shared by 264, 396 and 35964 (see digit-reassembly number).[3]

The number of irreducible trees with fifteen vertices is 132.[4]

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:

See also

References

Шаблон:Integers