131664352 has 48 divisors (see below), whose sum is σ = 270732672. Its totient is φ = 62968320.

The previous prime is 131664331. The next prime is 131664367. The reversal of 131664352 is 253466131.

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 7 ways as a sum of consecutive naturals, for example, 71313 + ... + 73135.

It is an arithmetic number, because the mean of its divisors is an integer number (5640264).

Almost surely, 2^131664352 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 131664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135366336).

131664352 is an abundant number, since it is smaller than the sum of its proper divisors (139068320).

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

131664352 is a wasteful number, since it uses less digits than its factorization.

131664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1923 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 131664352 is about 11474.5087912294. The cubic root of 131664352 is about 508.7324050203.

The spelling of 131664352 in words is "one hundred thirty-one million, six hundred sixty-four thousand, three hundred fifty-two".