131879997849600 has 8100 divisors, whose sum is σ = 697554885265392. Its totient is φ = 23964313190400.

The previous prime is 131879997849599. The next prime is 131879997849671. The reversal of 131879997849600 is 6948799978131.

131879997849600 is a `hidden beast` number, since 1 + 31 + 8 + 7 + 9 + 9 + 97 + 8 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8100).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 131879997849600.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 6941052518391 + ... + 6941052518409.

Almost surely, 2^{131879997849600} is an apocalyptic number.

131879997849600 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 131879997849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348777442632696).

131879997849600 is an abundant number, since it is smaller than the sum of its proper divisors (565674887415792).

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

131879997849600 is a wasteful number, since it uses less digits than its factorization.

131879997849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 81.

The spelling of 131879997849600 in words is "one hundred thirty-one trillion, eight hundred seventy-nine billion, nine hundred ninety-seven million, eight hundred forty-nine thousand, six hundred".