131407901856 has 960 divisors, whose sum is σ = 506387718144. Its totient is φ = 32435251200.

The previous prime is 131407901813. The next prime is 131407901873. The reversal of 131407901856 is 658109704131.

It is a super-2 number, since 2×131407901856² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 414535810 + ... + 414536126.

Almost surely, 2^131407901856 is an apocalyptic number.

131407901856 is a gapful number since it is divisible by the number (16) 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 131407901856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253193859072).

131407901856 is an abundant number, since it is smaller than the sum of its proper divisors (374979816288).

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

131407901856 is a wasteful number, since it uses less digits than its factorization.

131407901856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 131407901856 in words is "one hundred thirty-one billion, four hundred seven million, nine hundred one thousand, eight hundred fifty-six".