137656549008 has 240 divisors, whose sum is σ = 450868017600. Its totient is φ = 40275325440.

The previous prime is 137656549007. The next prime is 137656549031. The reversal of 137656549008 is 800945656731.

137656549008 is a `hidden beast` number, since 1 + 3 + 76 + 565 + 4 + 9 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137656549001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1184778 + ... + 1295766.

It is an arithmetic number, because the mean of its divisors is an integer number (1878616740).

Almost surely, 2^137656549008 is an apocalyptic number.

137656549008 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 137656549008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225434008800).

137656549008 is an abundant number, since it is smaller than the sum of its proper divisors (313211468592).

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

137656549008 is a wasteful number, since it uses less digits than its factorization.

137656549008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111052 (or 111034 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 137656549008 in words is "one hundred thirty-seven billion, six hundred fifty-six million, five hundred forty-nine thousand, eight".