137679558720 has 224 divisors, whose sum is σ = 477173275776. Its totient is φ = 33355776000.

The previous prime is 137679558703. The next prime is 137679558761. The reversal of 137679558720 is 27855976731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 22563670 + ... + 22569770.

Almost surely, 2^137679558720 is an apocalyptic number.

137679558720 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 137679558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238586637888).

137679558720 is an abundant number, since it is smaller than the sum of its proper divisors (339493717056).

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

137679558720 is a wasteful number, since it uses less digits than its factorization.

137679558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 137679558720 in words is "one hundred thirty-seven billion, six hundred seventy-nine million, five hundred fifty-eight thousand, seven hundred twenty".