132931584000 has 544 divisors, whose sum is σ = 492365590080. Its totient is φ = 35389440000.

The previous prime is 132931583999. The next prime is 132931584011. The reversal of 132931584000 is 485139231.

132931584000 is a `hidden beast` number, since 13 + 2 + 93 + 158 + 400 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 221183700 + ... + 221184300.

Almost surely, 2^132931584000 is an apocalyptic number.

132931584000 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 132931584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246182795040).

132931584000 is an abundant number, since it is smaller than the sum of its proper divisors (359434006080).

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

132931584000 is an frugal number, since it uses more digits than its factorization.

132931584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 132931584000 in words is "one hundred thirty-two billion, nine hundred thirty-one million, five hundred eighty-four thousand".