>>41240366132 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.
If you take the sum of all 2-digit numbers you can make from 132, you get 132: {\displaystyle 12+13+21+23+31+32=132}12+13+21+23+31+32=132. 132 is the smallest number with this property,[2] which is shared by 264, 396 and 35964 (see digit-reassembly number).[3]
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 K6, which yields 132 blocks in Steiner system S(5,6,12).
