137917458432 has 480 divisors, whose sum is σ = 458170352640. Its totient is φ = 41047326720.

The previous prime is 137917458421. The next prime is 137917458433. The reversal of 137917458432 is 234854719731.

137917458432 is a `hidden beast` number, since 1 + 3 + 7 + 91 + 74 + 58 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137917458433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66851833 + ... + 66853895.

It is an arithmetic number, because the mean of its divisors is an integer number (954521568).

Almost surely, 2^137917458432 is an apocalyptic number.

137917458432 is a gapful number since it is divisible by the number (12) 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 137917458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229085176320).

137917458432 is an abundant number, since it is smaller than the sum of its proper divisors (320252894208).

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

137917458432 is a wasteful number, since it uses less digits than its factorization.

137917458432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2112 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 137917458432 in words is "one hundred thirty-seven billion, nine hundred seventeen million, four hundred fifty-eight thousand, four hundred thirty-two".