137382859544032 has 96 divisors (see below), whose sum is σ = 275565774786624. Its totient is φ = 67403413094400.

The previous prime is 137382859544009. The next prime is 137382859544041. The reversal of 137382859544032 is 230445958283731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2510578432 + ... + 2510633152.

It is an arithmetic number, because the mean of its divisors is an integer number (2870476820694).

Almost surely, 2^{137382859544032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137382859544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137782887393312).

137382859544032 is an abundant number, since it is smaller than the sum of its proper divisors (138182915242592).

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

137382859544032 is a wasteful number, since it uses less digits than its factorization.

137382859544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57852 (or 57844 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 64.

The spelling of 137382859544032 in words is "one hundred thirty-seven trillion, three hundred eighty-two billion, eight hundred fifty-nine million, five hundred forty-four thousand, thirty-two".