131507339634 has 96 divisors (see below), whose sum is σ = 313338430080. Its totient is φ = 39530592000.

The previous prime is 131507339629. The next prime is 131507339681. The reversal of 131507339634 is 436933705131.

131507339634 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 0 + 7 + 3 + 3 + 9 + 634 = 666.

It is a super-2 number, since 2×131507339634² (a number of 23 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 131507339634.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24184764 + ... + 24190200.

It is an arithmetic number, because the mean of its divisors is an integer number (3263941980).

Almost surely, 2^131507339634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131507339634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156669215040).

131507339634 is an abundant number, since it is smaller than the sum of its proper divisors (181831090446).

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

131507339634 is a wasteful number, since it uses less digits than its factorization.

131507339634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 131507339634 in words is "one hundred thirty-one billion, five hundred seven million, three hundred thirty-nine thousand, six hundred thirty-four".