131640345606400 has 108 divisors (see below), whose sum is σ = 328317681417264. Its totient is φ = 52254182656000.

The previous prime is 131640345606383. The next prime is 131640345606421. The reversal of 131640345606400 is 4606543046131.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77668486 + ... + 79345285.

Almost surely, 2^{131640345606400} is an apocalyptic number.

131640345606400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131640345606400 is an abundant number, since it is smaller than the sum of its proper divisors (196677335810864).

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

131640345606400 is a wasteful number, since it uses less digits than its factorization.

131640345606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157013928 (or 157013909 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 131640345606400 in words is "one hundred thirty-one trillion, six hundred forty billion, three hundred forty-five million, six hundred six thousand, four hundred".