131575957568000 has 960 divisors, whose sum is σ = 374742692932608. Its totient is φ = 45994291200000.

The previous prime is 131575957567991. The next prime is 131575957568057. The reversal of 131575957568000 is 865759575131.

It is a super-2 number, since 2×131575957568000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37690046255 + ... + 37690049745.

Almost surely, 2^{131575957568000} is an apocalyptic number.

131575957568000 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 131575957568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187371346466304).

131575957568000 is an abundant number, since it is smaller than the sum of its proper divisors (243166735364608).

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

131575957568000 is a wasteful number, since it uses less digits than its factorization.

131575957568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 39690000, while the sum is 62.

The spelling of 131575957568000 in words is "one hundred thirty-one trillion, five hundred seventy-five billion, nine hundred fifty-seven million, five hundred sixty-eight thousand".