# 132 (number)

 ← 131 132 133 →
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
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.[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: ${\displaystyle 12+13+21+23+31+32=132}$. 132 is the smallest number with this property,[2] which is shared by 264, 396 and 35964 (see digit-reassembly number).[3]

But there is no number that, when added to the sum of its own digits, sums to 132, therefore 132 is a self number. 132 is also a Harshad number, divisible by the sum of its base-ten digits.

132 is also:

## References

1. ^ "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
2. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 138
3. ^