131252064 has 48 divisors (see below), whose sum is σ = 345644208. Its totient is φ = 43610112.

The previous prime is 131252041. The next prime is 131252071. The reversal of 131252064 is 460252131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30324 + ... + 34380.

It is an arithmetic number, because the mean of its divisors is an integer number (7200921).

Almost surely, 2^131252064 is an apocalyptic number.

It is an amenable number.

131252064 is an abundant number, since it is smaller than the sum of its proper divisors (214392144).

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

131252064 is a wasteful number, since it uses less digits than its factorization.

131252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 131252064 is about 11456.5293173805. The cubic root of 131252064 is about 508.2008423199.

The spelling of 131252064 in words is "one hundred thirty-one million, two hundred fifty-two thousand, sixty-four".