131910932160 has 2016 divisors, whose sum is σ = 614886451200. Its totient is φ = 26440888320.

The previous prime is 131910932147. The next prime is 131910932233. The reversal of 131910932160 is 61239019131.

131910932160 is a `hidden beast` number, since 1 + 319 + 10 + 9 + 321 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 4255191345 + ... + 4255191375.

It is an arithmetic number, because the mean of its divisors is an integer number (305003200).

Almost surely, 2^131910932160 is an apocalyptic number.

131910932160 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 131910932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307443225600).

131910932160 is an abundant number, since it is smaller than the sum of its proper divisors (482975519040).

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

131910932160 is a wasteful number, since it uses less digits than its factorization.

131910932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 131910932160 in words is "one hundred thirty-one billion, nine hundred ten million, nine hundred thirty-two thousand, one hundred sixty".