132508431360 has 440 divisors, whose sum is σ = 486479064456. Its totient is φ = 34469314560.

The previous prime is 132508431311. The next prime is 132508431379. The reversal of 132508431360 is 63134805231.

132508431360 is a `hidden beast` number, since 1 + 3 + 250 + 8 + 43 + 1 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15839732736 + 116668698624 = 125856^2 + 341568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16999624 + ... + 17007416.

Almost surely, 2^132508431360 is an apocalyptic number.

132508431360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132508431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243239532228).

132508431360 is an abundant number, since it is smaller than the sum of its proper divisors (353970633096).

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

132508431360 is an equidigital number, since it uses as much as digits as its factorization.

132508431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7871 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 132508431360 in words is "one hundred thirty-two billion, five hundred eight million, four hundred thirty-one thousand, three hundred sixty".