131795112960 has 1056 divisors, whose sum is σ = 557221566720. Its totient is φ = 29238755328.

The previous prime is 131795112959. The next prime is 131795112973. The reversal of 131795112960 is 69211597131.

131795112960 is a `hidden beast` number, since 1 + 3 + 1 + 79 + 511 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322237236 + ... + 322237644.

Almost surely, 2^131795112960 is an apocalyptic number.

131795112960 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 131795112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278610783360).

131795112960 is an abundant number, since it is smaller than the sum of its proper divisors (425426453760).

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

131795112960 is an equidigital number, since it uses as much as digits as its factorization.

131795112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 131795112960 in words is "one hundred thirty-one billion, seven hundred ninety-five million, one hundred twelve thousand, nine hundred sixty".