137846656320 has 112 divisors (see below), whose sum is σ = 438083553600. Its totient is φ = 36723798016.

The previous prime is 137846656319. The next prime is 137846656349. The reversal of 137846656320 is 23656648731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938599 + ... + 1075481.

It is an arithmetic number, because the mean of its divisors is an integer number (3911460300).

Almost surely, 2^137846656320 is an apocalyptic number.

137846656320 is a gapful number since it is divisible by the number (10) 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 137846656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219041776800).

137846656320 is an abundant number, since it is smaller than the sum of its proper divisors (300236897280).

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

137846656320 is a wasteful number, since it uses less digits than its factorization.

137846656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137952 (or 137942 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 137846656320 in words is "one hundred thirty-seven billion, eight hundred forty-six million, six hundred fifty-six thousand, three hundred twenty".