131537961 has 9 divisors (see below), whose sum is σ = 190048989. Its totient is φ = 87669036.

The previous prime is 131537941. The next prime is 131538019. The reversal of 131537961 is 169735131.

The square root of 131537961 is 11469.

It is a perfect power (a square), and thus also a powerful number.

131537961 is a `hidden beast` number, since 1 + 31 + 537 + 96 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-131537961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131537921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32496 + ... + 36318.

Almost surely, 2^131537961 is an apocalyptic number.

131537961 is the 11469-th square number.

131537961 is the 5735-th centered octagonal number.

It is an amenable number.

131537961 is a deficient number, since it is larger than the sum of its proper divisors (58511028).

131537961 is an frugal number, since it uses more digits than its factorization.

131537961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 3826 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The cubic root of 131537961 is about 508.5695672639.

Multiplying 131537961 by its sum of digits (36), we get a square (4735366596 = 68814²).

The spelling of 131537961 in words is "one hundred thirty-one million, five hundred thirty-seven thousand, nine hundred sixty-one".