131836768 has 96 divisors (see below), whose sum is σ = 318427200. Its totient is φ = 52445184.

The previous prime is 131836729. The next prime is 131836787. The reversal of 131836768 is 867638131.

Its product of digits (145152) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338718 + ... + 339106.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^131836768 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 131836768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

131836768 is an abundant number, since it is smaller than the sum of its proper divisors (186590432).

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

131836768 is a wasteful number, since it uses less digits than its factorization.

131836768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 131836768 is about 11482.0193345944. The cubic root of 131836768 is about 508.9543718258.

The spelling of 131836768 in words is "one hundred thirty-one million, eight hundred thirty-six thousand, seven hundred sixty-eight".