131695968 has 48 divisors (see below), whose sum is σ = 346293360. Its totient is φ = 43823616.

The previous prime is 131695943. The next prime is 131695979. The reversal of 131695968 is 869596131.

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 (48).

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, 105846 + ... + 107082.

It is an arithmetic number, because the mean of its divisors is an integer number (7214445).

Almost surely, 2^131695968 is an apocalyptic number.

It is an amenable number.

131695968 is an abundant number, since it is smaller than the sum of its proper divisors (214597392).

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

131695968 is a wasteful number, since it uses less digits than its factorization.

131695968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2351 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 131695968 is about 11475.8863709955. The cubic root of 131695968 is about 508.7731216765.

The spelling of 131695968 in words is "one hundred thirty-one million, six hundred ninety-five thousand, nine hundred sixty-eight".