131264352 has 72 divisors (see below), whose sum is σ = 374918544. Its totient is φ = 43563264.

The previous prime is 131264299. The next prime is 131264363. The reversal of 131264352 is 253462131.

131264352 is a `hidden beast` number, since 1 + 3 + 12 + 643 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 74878 + ... + 76610.

It is an arithmetic number, because the mean of its divisors is an integer number (5207202).

Almost surely, 2^131264352 is an apocalyptic number.

131264352 is a gapful number since it is divisible by the number (12) 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 131264352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187459272).

131264352 is an abundant number, since it is smaller than the sum of its proper divisors (243654192).

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

131264352 is a wasteful number, since it uses less digits than its factorization.

131264352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2001 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 131264352 is about 11457.0655928994. The cubic root of 131264352 is about 508.2167013139.

The spelling of 131264352 in words is "one hundred thirty-one million, two hundred sixty-four thousand, three hundred fifty-two".