131806368 has 36 divisors (see below), whose sum is σ = 374825178. Its totient is φ = 43935360.

The previous prime is 131806331. The next prime is 131806373. The reversal of 131806368 is 863608131.

131806368 is a `hidden beast` number, since 1 + 3 + 18 + 0 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122146704 + 9659664 = 11052^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228543 + ... + 229118.

Almost surely, 2^131806368 is an apocalyptic number.

131806368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131806368 is an abundant number, since it is smaller than the sum of its proper divisors (243018810).

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

131806368 is a wasteful number, since it uses less digits than its factorization.

131806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457677 (or 457666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 131806368 is about 11480.6954493184. The cubic root of 131806368 is about 508.9152491983.

It can be divided in two parts, 1318063 and 68, that added together give a palindrome (1318131).

The spelling of 131806368 in words is "one hundred thirty-one million, eight hundred six thousand, three hundred sixty-eight".