131319160 has 64 divisors (see below), whose sum is σ = 344088000. Its totient is φ = 44169216.

The previous prime is 131319137. The next prime is 131319161. The reversal of 131319160 is 61913131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131319161) 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, 10416 + ... + 19264.

It is an arithmetic number, because the mean of its divisors is an integer number (5376375).

Almost surely, 2^131319160 is an apocalyptic number.

131319160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131319160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172044000).

131319160 is an abundant number, since it is smaller than the sum of its proper divisors (212768840).

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

131319160 is a wasteful number, since it uses less digits than its factorization.

131319160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 131319160 is about 11459.4572297295. The cubic root of 131319160 is about 508.2874249203.

The spelling of 131319160 in words is "one hundred thirty-one million, three hundred nineteen thousand, one hundred sixty".