131626264 has 64 divisors (see below), whose sum is σ = 310728960. Its totient is φ = 50778240.

The previous prime is 131626241. The next prime is 131626267. The reversal of 131626264 is 462626131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131626267) 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, 64914 + ... + 66910.

It is an arithmetic number, because the mean of its divisors is an integer number (4855140).

Almost surely, 2^131626264 is an apocalyptic number.

131626264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131626264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155364480).

131626264 is an abundant number, since it is smaller than the sum of its proper divisors (179102696).

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

131626264 is a wasteful number, since it uses less digits than its factorization.

131626264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2124 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 131626264 is about 11472.8489922948. The cubic root of 131626264 is about 508.6833447437.

The spelling of 131626264 in words is "one hundred thirty-one million, six hundred twenty-six thousand, two hundred sixty-four".