131149892697888 has 96 divisors (see below), whose sum is σ = 368128659669120. Its totient is φ = 40737687449600.

The previous prime is 131149892697743. The next prime is 131149892697913. The reversal of 131149892697888 is 888796298941131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131149892697888² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131149892697888.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397664148 + ... + 397993811.

It is an arithmetic number, because the mean of its divisors is an integer number (3834673538220).

Almost surely, 2^{131149892697888} is an apocalyptic number.

It is an amenable number.

131149892697888 is an abundant number, since it is smaller than the sum of its proper divisors (236978766971232).

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

131149892697888 is a wasteful number, since it uses less digits than its factorization.

131149892697888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795658090 (or 795658082 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 84.

The spelling of 131149892697888 in words is "one hundred thirty-one trillion, one hundred forty-nine billion, eight hundred ninety-two million, six hundred ninety-seven thousand, eight hundred eighty-eight".