131307264 has 216 divisors, whose sum is σ = 429526160. Its totient is φ = 39536640.

The previous prime is 131307247. The next prime is 131307283. The reversal of 131307264 is 462703131.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836274 + ... + 836430.

Almost surely, 2^131307264 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 131307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214763080).

131307264 is an abundant number, since it is smaller than the sum of its proper divisors (298218896).

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

131307264 is a wasteful number, since it uses less digits than its factorization.

131307264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131307264 is about 11458.9381707033. The cubic root of 131307264 is about 508.2720761324.

The spelling of 131307264 in words is "one hundred thirty-one million, three hundred seven thousand, two hundred sixty-four".