131386624 has 36 divisors (see below), whose sum is σ = 263412324. Its totient is φ = 65404928.

The previous prime is 131386621. The next prime is 131386637. The reversal of 131386624 is 426683131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67897600 + 63489024 = 8240^2 + 7968^2 .

It is a super-2 number, since 2×131386624² = 34524889932234752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131386624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131386621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64794 + ... + 66790.

It is an arithmetic number, because the mean of its divisors is an integer number (7317009).

Almost surely, 2^131386624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131386624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131706162).

131386624 is an abundant number, since it is smaller than the sum of its proper divisors (132025700).

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

131386624 is an equidigital number, since it uses as much as digits as its factorization.

131386624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2256 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 131386624 is about 11462.4004466778. The cubic root of 131386624 is about 508.3744526683.

The spelling of 131386624 in words is "one hundred thirty-one million, three hundred eighty-six thousand, six hundred twenty-four".