137884305328 has 320 divisors, whose sum is σ = 350011883520. Its totient is φ = 51078988800.

The previous prime is 137884305311. The next prime is 137884305337. The reversal of 137884305328 is 823503488731.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363810643 + ... + 363811021.

It is an arithmetic number, because the mean of its divisors is an integer number (1093787136).

Almost surely, 2^137884305328 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 137884305328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175005941760).

137884305328 is an abundant number, since it is smaller than the sum of its proper divisors (212127578192).

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

137884305328 is a wasteful number, since it uses less digits than its factorization.

137884305328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 137884305328 in words is "one hundred thirty-seven billion, eight hundred eighty-four million, three hundred five thousand, three hundred twenty-eight".