131908679884800 has 7056 divisors, whose sum is σ = 655601432416560. Its totient is φ = 26005292974080.

The previous prime is 131908679884753. The next prime is 131908679884837. The reversal of 131908679884800 is 8488976809131.

131908679884800 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 8 + 67 + 9 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1806968217564 + ... + 1806968217636.

Almost surely, 2^{131908679884800} is an apocalyptic number.

131908679884800 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 131908679884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327800716208280).

131908679884800 is an abundant number, since it is smaller than the sum of its proper divisors (523692752531760).

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

131908679884800 is an equidigital number, since it uses as much as digits as its factorization.

131908679884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 131908679884800 in words is "one hundred thirty-one trillion, nine hundred eight billion, six hundred seventy-nine million, eight hundred eighty-four thousand, eight hundred".