137156882688 has 576 divisors, whose sum is σ = 476274892800. Its totient is φ = 38604294144.

The previous prime is 137156882573. The next prime is 137156882689. The reversal of 137156882688 is 886288651731.

137156882688 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 568 + 8 + 2 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (137156882689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309608995 + ... + 309609437.

Almost surely, 2^137156882688 is an apocalyptic number.

137156882688 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 137156882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238137446400).

137156882688 is an abundant number, since it is smaller than the sum of its proper divisors (339118010112).

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

137156882688 is an frugal number, since it uses more digits than its factorization.

137156882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 534 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 137156882688 in words is "one hundred thirty-seven billion, one hundred fifty-six million, eight hundred eighty-two thousand, six hundred eighty-eight".