137385664416 has 576 divisors, whose sum is σ = 542684862720. Its totient is φ = 31801835520.

The previous prime is 137385664399. The next prime is 137385664447. The reversal of 137385664416 is 614466583731.

137385664416 is a `hidden beast` number, since 1 + 3 + 7 + 38 + 566 + 4 + 41 + 6 = 666.

137385664416 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8352136 + ... + 8368568.

It is an arithmetic number, because the mean of its divisors is an integer number (942161220).

Almost surely, 2^137385664416 is an apocalyptic number.

137385664416 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 137385664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271342431360).

137385664416 is an abundant number, since it is smaller than the sum of its proper divisors (405299198304).

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

137385664416 is a wasteful number, since it uses less digits than its factorization.

137385664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16509 (or 16498 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 137385664416 in words is "one hundred thirty-seven billion, three hundred eighty-five million, six hundred sixty-four thousand, four hundred sixteen".