131928168960000 has 4160 divisors, whose sum is σ = 597424123084800. Its totient is φ = 28092137472000.

The previous prime is 131928168959989. The next prime is 131928168960013. The reversal of 131928168960000 is 69861829131.

131928168960000 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 28 + 1 + 6 + 8 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1038804479937 + ... + 1038804480063.

Almost surely, 2^{131928168960000} is an apocalyptic number.

131928168960000 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 131928168960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298712061542400).

131928168960000 is an abundant number, since it is smaller than the sum of its proper divisors (465495954124800).

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

131928168960000 is a wasteful number, since it uses less digits than its factorization.

131928168960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 131928168960000 in words is "one hundred thirty-one trillion, nine hundred twenty-eight billion, one hundred sixty-eight million, nine hundred sixty thousand".