131506610634 has 24 divisors (see below), whose sum is σ = 325635417120. Its totient is φ = 37573317288.

The previous prime is 131506610633. The next prime is 131506610657. The reversal of 131506610634 is 436016605131.

131506610634 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 0 + 6 + 6 + 10 + 634 = 666.

It is not an unprimeable number, because it can be changed into a prime (131506610633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521851504 + ... + 521851755.

It is an arithmetic number, because the mean of its divisors is an integer number (13568142380).

Almost surely, 2^131506610634 is an apocalyptic number.

131506610634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131506610634 is an abundant number, since it is smaller than the sum of its proper divisors (194128806486).

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

131506610634 is a wasteful number, since it uses less digits than its factorization.

131506610634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043703274 (or 1043703271 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 131506610634 in words is "one hundred thirty-one billion, five hundred six million, six hundred ten thousand, six hundred thirty-four".