131362576 has 40 divisors (see below), whose sum is σ = 266333400. Its totient is φ = 62684160.

The previous prime is 131362573. The next prime is 131362579. The reversal of 131362576 is 675263131.

It is an interprime number because it is at equal distance from previous prime (131362573) and next prime (131362579).

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 131331600 = 176^2 + 11460^2 .

It is a super-2 number, since 2×131362576² = 34512252746711552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131362571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39706 + ... + 42886.

It is an arithmetic number, because the mean of its divisors is an integer number (6658335).

Almost surely, 2^131362576 is an apocalyptic number.

131362576 is a gapful number since it is divisible by the number (16) 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 131362576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133166700).

131362576 is an abundant number, since it is smaller than the sum of its proper divisors (134970824).

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

131362576 is a wasteful number, since it uses less digits than its factorization.

131362576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3301 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 131362576 is about 11461.3514037394. The cubic root of 131362576 is about 508.3434344554.

The spelling of 131362576 in words is "one hundred thirty-one million, three hundred sixty-two thousand, five hundred seventy-six".