137557679616 has 360 divisors, whose sum is σ = 463376525040. Its totient is φ = 39169622016.

The previous prime is 137557679599. The next prime is 137557679639. The reversal of 137557679616 is 616976755731.

It is a happy number.

137557679616 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 5 + 7 + 6 + 7 + 9 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81058480 + ... + 81060176.

It is an arithmetic number, because the mean of its divisors is an integer number (1287157014).

Almost surely, 2^137557679616 is an apocalyptic number.

137557679616 is a gapful number since it is divisible by the number (16) 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 137557679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231688262520).

137557679616 is an abundant number, since it is smaller than the sum of its proper divisors (325818845424).

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

137557679616 is a wasteful number, since it uses less digits than its factorization.

137557679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2068 counting only the distinct ones).

The product of its digits is 50009400, while the sum is 63.

The spelling of 137557679616 in words is "one hundred thirty-seven billion, five hundred fifty-seven million, six hundred seventy-nine thousand, six hundred sixteen".