132325117272900 has 108 divisors (see below), whose sum is σ = 416307609490500. Its totient is φ = 35155520559360.

The previous prime is 132325117272877. The next prime is 132325117273031. The reversal of 132325117272900 is 9272711523231.

132325117272900 is a `hidden beast` number, since 1 + 3 + 2 + 325 + 1 + 17 + 27 + 290 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36629415346176 + 95695701926724 = 6052224^2 + 9782418^2 .

It is a super-2 number, since 2×132325117272900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273043975 + ... + 273528174.

It is an arithmetic number, because the mean of its divisors is an integer number (3854700087875).

Almost surely, 2^{132325117272900} is an apocalyptic number.

132325117272900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132325117272900 is an abundant number, since it is smaller than the sum of its proper divisors (283982492217600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132325117272900 is a wasteful number, since it uses less digits than its factorization.

132325117272900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546572438 (or 546572428 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 132325117272900 in words is "one hundred thirty-two trillion, three hundred twenty-five billion, one hundred seventeen million, two hundred seventy-two thousand, nine hundred".