132381524160 has 672 divisors, whose sum is σ = 512885131200. Its totient is φ = 31142707200.

The previous prime is 132381524153. The next prime is 132381524161. The reversal of 132381524160 is 61425183231.

132381524160 is a `hidden beast` number, since 1 + 3 + 238 + 1 + 5 + 2 + 416 + 0 = 666.

132381524160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (132381524161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93953536 + ... + 93954944.

Almost surely, 2^132381524160 is an apocalyptic number.

132381524160 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 132381524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256442565600).

132381524160 is an abundant number, since it is smaller than the sum of its proper divisors (380503607040).

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

132381524160 is a wasteful number, since it uses less digits than its factorization.

132381524160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 132381524160 in words is "one hundred thirty-two billion, three hundred eighty-one million, five hundred twenty-four thousand, one hundred sixty".