131553106435134 has 48 divisors (see below), whose sum is σ = 288517197898800. Its totient is φ = 43315776797568.

The previous prime is 131553106435123. The next prime is 131553106435169. The reversal of 131553106435134 is 431534601355131.

131553106435134 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 531 + 0 + 64 + 3 + 51 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131553106435134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38661009 + ... + 41925884.

It is an arithmetic number, because the mean of its divisors is an integer number (6010774956225).

Almost surely, 2^{131553106435134} is an apocalyptic number.

131553106435134 is an abundant number, since it is smaller than the sum of its proper divisors (156964091463666).

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

131553106435134 is a wasteful number, since it uses less digits than its factorization.

131553106435134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80588009 (or 80588006 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 131553106435134 in words is "one hundred thirty-one trillion, five hundred fifty-three billion, one hundred six million, four hundred thirty-five thousand, one hundred thirty-four".