131536704 has 112 divisors (see below), whose sum is σ = 378358400. Its totient is φ = 40089600.

The previous prime is 131536697. The next prime is 131536709. The reversal of 131536704 is 407635131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131536709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376722 + ... + 377070.

It is an arithmetic number, because the mean of its divisors is an integer number (3378200).

Almost surely, 2^131536704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131536704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189179200).

131536704 is an abundant number, since it is smaller than the sum of its proper divisors (246821696).

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

131536704 is a wasteful number, since it uses less digits than its factorization.

131536704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 131536704 is about 11468.9451999737. The cubic root of 131536704 is about 508.5679472652.

The spelling of 131536704 in words is "one hundred thirty-one million, five hundred thirty-six thousand, seven hundred four".