131165968 has 80 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 59633280.

The previous prime is 131165939. The next prime is 131165971. The reversal of 131165968 is 869561131.

131165968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131165968² = 34409022322754048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131165968.

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, 1273405 + ... + 1273507.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^131165968 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 131165968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

131165968 is an abundant number, since it is smaller than the sum of its proper divisors (147387632).

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

131165968 is a wasteful number, since it uses less digits than its factorization.

131165968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 38880, while the sum is 40.

The square root of 131165968 is about 11452.7711930345. The cubic root of 131165968 is about 508.0896983403.

The spelling of 131165968 in words is "one hundred thirty-one million, one hundred sixty-five thousand, nine hundred sixty-eight".