131382760 has 64 divisors (see below), whose sum is σ = 311720400. Its totient is φ = 49760256.

The previous prime is 131382751. The next prime is 131382763. The reversal of 131382760 is 67283131.

It can be written as a sum of positive squares in 8 ways, for example, as 36554116 + 94828644 = 6046^2 + 9738^2 .

It is a super-2 number, since 2×131382760² = 34522859250435200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131382763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60412 + ... + 62548.

Almost surely, 2^131382760 is an apocalyptic number.

131382760 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 131382760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155860200).

131382760 is an abundant number, since it is smaller than the sum of its proper divisors (180337640).

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

131382760 is a wasteful number, since it uses less digits than its factorization.

131382760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 131382760 is about 11462.2318943564. The cubic root of 131382760 is about 508.3694689591.

The spelling of 131382760 in words is "one hundred thirty-one million, three hundred eighty-two thousand, seven hundred sixty".