131536613545506 has 144 divisors (see below), whose sum is σ = 335589687135144. Its totient is φ = 37062535550976.

The previous prime is 131536613545439. The next prime is 131536613545511. The reversal of 131536613545506 is 605545316635131.

131536613545506 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 6 + 61 + 35 + 45 + 506 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1323615735225 + 130212997810281 = 1150485^2 + 11411091^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32458741 + ... + 36285576.

Almost surely, 2^{131536613545506} is an apocalyptic number.

131536613545506 is an abundant number, since it is smaller than the sum of its proper divisors (204053073589638).

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

131536613545506 is a wasteful number, since it uses less digits than its factorization.

131536613545506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68744405 (or 68744389 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 131536613545506 in words is "one hundred thirty-one trillion, five hundred thirty-six billion, six hundred thirteen million, five hundred forty-five thousand, five hundred six".