137975918976 has 384 divisors, whose sum is σ = 495965583360. Its totient is φ = 35904798720.

The previous prime is 137975918957. The next prime is 137975918989. The reversal of 137975918976 is 679819579731.

137975918976 is a `hidden beast` number, since 1 + 379 + 7 + 5 + 9 + 189 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233495 + ... + 4265961.

It is an arithmetic number, because the mean of its divisors is an integer number (1291577040).

Almost surely, 2^137975918976 is an apocalyptic number.

137975918976 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 137975918976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247982791680).

137975918976 is an abundant number, since it is smaller than the sum of its proper divisors (357989664384).

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

137975918976 is a wasteful number, since it uses less digits than its factorization.

137975918976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32542 (or 32527 counting only the distinct ones).

The product of its digits is 180033840, while the sum is 72.

The spelling of 137975918976 in words is "one hundred thirty-seven billion, nine hundred seventy-five million, nine hundred eighteen thousand, nine hundred seventy-six".