131607252 has 36 divisors (see below), whose sum is σ = 380199456. Its totient is φ = 37602000.

The previous prime is 131607227. The next prime is 131607277. The reversal of 131607252 is 252706131.

It is a happy number.

131607252 is a `hidden beast` number, since 1 + 3 + 1 + 607 + 2 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (131607227) and next prime (131607277).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260874 + ... + 261377.

It is an arithmetic number, because the mean of its divisors is an integer number (10561096).

Almost surely, 2^131607252 is an apocalyptic number.

131607252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131607252 is an abundant number, since it is smaller than the sum of its proper divisors (248592204).

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

131607252 is a wasteful number, since it uses less digits than its factorization.

131607252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522268 (or 522263 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131607252 is about 11472.0203974714. The cubic root of 131607252 is about 508.6588522827.

The spelling of 131607252 in words is "one hundred thirty-one million, six hundred seven thousand, two hundred fifty-two".