131512742208 has 56 divisors (see below), whose sum is σ = 386623112960. Its totient is φ = 43837580160.

The previous prime is 131512742189. The next prime is 131512742209. The reversal of 131512742208 is 802247215131.

131512742208 is a `hidden beast` number, since 13 + 151 + 274 + 220 + 8 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131512742209) 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 7 ways as a sum of consecutive naturals, for example, 38051728 + ... + 38055183.

It is an arithmetic number, because the mean of its divisors is an integer number (6903984160).

Almost surely, 2^131512742208 is an apocalyptic number.

131512742208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131512742208 is an abundant number, since it is smaller than the sum of its proper divisors (255110370752).

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

131512742208 is an equidigital number, since it uses as much as digits as its factorization.

131512742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76106932 (or 76106916 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 131512742208 its reverse (802247215131), we get a palindrome (933759957339).

The spelling of 131512742208 in words is "one hundred thirty-one billion, five hundred twelve million, seven hundred forty-two thousand, two hundred eight".