131567680 has 56 divisors (see below), whose sum is σ = 314526168. Its totient is φ = 52420608.

The previous prime is 131567663. The next prime is 131567701. The reversal of 131567680 is 86765131.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 110334016 = 4608^2 + 10504^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100792 + ... + 102088.

Almost surely, 2^131567680 is an apocalyptic number.

131567680 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 131567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157263084).

131567680 is an abundant number, since it is smaller than the sum of its proper divisors (182958488).

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

131567680 is a wasteful number, since it uses less digits than its factorization.

131567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 131567680 is about 11470.2955498104. The cubic root of 131567680 is about 508.6078655638.

The spelling of 131567680 in words is "one hundred thirty-one million, five hundred sixty-seven thousand, six hundred eighty".