131961208800 has 72 divisors (see below), whose sum is σ = 429533742456. Its totient is φ = 35189655040.

The previous prime is 131961208777. The next prime is 131961208807. The reversal of 131961208800 is 8802169131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131961208807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27489519 + ... + 27494318.

It is an arithmetic number, because the mean of its divisors is an integer number (5965746423).

Almost surely, 2^131961208800 is an apocalyptic number.

131961208800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131961208800 is an abundant number, since it is smaller than the sum of its proper divisors (297572533656).

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

131961208800 is a wasteful number, since it uses less digits than its factorization.

131961208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54983860 (or 54983847 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 131961208800 in words is "one hundred thirty-one billion, nine hundred sixty-one million, two hundred eight thousand, eight hundred".