137877655680 has 768 divisors, whose sum is σ = 537984720000. Its totient is φ = 33610235904.

The previous prime is 137877655637. The next prime is 137877655681. The reversal of 137877655680 is 86556778731.

137877655680 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 7 + 65 + 568 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (137877655681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85690716 + ... + 85692324.

Almost surely, 2^137877655680 is an apocalyptic number.

137877655680 is a gapful number since it is divisible by the number (10) 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 137877655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268992360000).

137877655680 is an abundant number, since it is smaller than the sum of its proper divisors (400107064320).

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

137877655680 is a wasteful number, since it uses less digits than its factorization.

137877655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 137877655680 in words is "one hundred thirty-seven billion, eight hundred seventy-seven million, six hundred fifty-five thousand, six hundred eighty".