137531389968 has 80 divisors (see below), whose sum is σ = 451161183360. Its totient is φ = 39294681984.

The previous prime is 137531389943. The next prime is 137531389979. The reversal of 137531389968 is 869983135731.

137531389968 is a `hidden beast` number, since 1 + 3 + 7 + 531 + 3 + 8 + 9 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22736955 + ... + 22743002.

It is an arithmetic number, because the mean of its divisors is an integer number (5639514792).

Almost surely, 2^137531389968 is an apocalyptic number.

137531389968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137531389968 is an abundant number, since it is smaller than the sum of its proper divisors (313629793392).

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

137531389968 is a wasteful number, since it uses less digits than its factorization.

137531389968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45479981 (or 45479969 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 137531389968 in words is "one hundred thirty-seven billion, five hundred thirty-one million, three hundred eighty-nine thousand, nine hundred sixty-eight".