137990232471168 has 3584 divisors, whose sum is σ = 588577583001600. Its totient is φ = 31074777169920.

The previous prime is 137990232471061. The next prime is 137990232471173. The reversal of 137990232471168 is 861174232099731.

137990232471168 is a `hidden beast` number, since 1 + 3 + 79 + 9 + 0 + 2 + 32 + 471 + 1 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 85868221021 + ... + 85868222627.

Almost surely, 2^{137990232471168} is an apocalyptic number.

137990232471168 is a gapful number since it is divisible by the number (18) 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 137990232471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294288791500800).

137990232471168 is an abundant number, since it is smaller than the sum of its proper divisors (450587350530432).

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

137990232471168 is a wasteful number, since it uses less digits than its factorization.

137990232471168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 137990232471168 in words is "one hundred thirty-seven trillion, nine hundred ninety billion, two hundred thirty-two million, four hundred seventy-one thousand, one hundred sixty-eight".