137059339831752 has 128 divisors (see below), whose sum is σ = 369775505433600. Its totient is φ = 42084241258752.

The previous prime is 137059339831619. The next prime is 137059339831811. The reversal of 137059339831752 is 257138933950731.

137059339831752 is digitally balanced in base 4, 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 31 ways as a sum of consecutive naturals, for example, 293732343 + ... + 294198585.

It is an arithmetic number, because the mean of its divisors is an integer number (2888871136200).

Almost surely, 2^{137059339831752} is an apocalyptic number.

137059339831752 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 137059339831752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184887752716800).

137059339831752 is an abundant number, since it is smaller than the sum of its proper divisors (232716165601848).

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

137059339831752 is a wasteful number, since it uses less digits than its factorization.

137059339831752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468227 (or 468223 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 66.

The spelling of 137059339831752 in words is "one hundred thirty-seven trillion, fifty-nine billion, three hundred thirty-nine million, eight hundred thirty-one thousand, seven hundred fifty-two".