131518368 has 72 divisors (see below), whose sum is σ = 386096256. Its totient is φ = 42422400.

The previous prime is 131518319. The next prime is 131518369. The reversal of 131518368 is 863815131.

131518368 is a `hidden beast` number, since 131 + 518 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×131518368² = 34594162242766848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131518369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1563 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (5362448).

Almost surely, 2^131518368 is an apocalyptic number.

131518368 is a gapful number since it is divisible by the number (18) 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 131518368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193048128).

131518368 is an abundant number, since it is smaller than the sum of its proper divisors (254577888).

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

131518368 is a wasteful number, since it uses less digits than its factorization.

131518368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14778 (or 14767 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 131518368 is about 11468.1457960736. The cubic root of 131518368 is about 508.5443149888.

It can be divided in two parts, 1315 and 18368, that added together give a 9-th power (19683 = 3⁹).

The spelling of 131518368 in words is "one hundred thirty-one million, five hundred eighteen thousand, three hundred sixty-eight".