137977601580 has 576 divisors, whose sum is σ = 545182310400. Its totient is φ = 29107185408.

The previous prime is 137977601537. The next prime is 137977601609. The reversal of 137977601580 is 85106779731.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21667557 + ... + 21673923.

Almost surely, 2^137977601580 is an apocalyptic number.

137977601580 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 137977601580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272591155200).

137977601580 is an abundant number, since it is smaller than the sum of its proper divisors (407204708820).

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

137977601580 is a wasteful number, since it uses less digits than its factorization.

137977601580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 137977601580 in words is "one hundred thirty-seven billion, nine hundred seventy-seven million, six hundred one thousand, five hundred eighty".