131332968 has 64 divisors (see below), whose sum is σ = 392884800. Its totient is φ = 40409280.

The previous prime is 131332961. The next prime is 131332969. The reversal of 131332968 is 869233131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131332961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20578 + ... + 26193.

It is an arithmetic number, because the mean of its divisors is an integer number (6138825).

Almost surely, 2^131332968 is an apocalyptic number.

131332968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131332968 is an abundant number, since it is smaller than the sum of its proper divisors (261551832).

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

131332968 is a wasteful number, since it uses less digits than its factorization.

131332968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46799 (or 46789 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 131332968 is about 11460.0596857084. The cubic root of 131332968 is about 508.3052394997.

The spelling of 131332968 in words is "one hundred thirty-one million, three hundred thirty-two thousand, nine hundred sixty-eight".