137321331904 has 56 divisors (see below), whose sum is σ = 282011932800. Its totient is φ = 66274621440.

The previous prime is 137321331887. The next prime is 137321331911. The reversal of 137321331904 is 409133123731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682812 + ... + 860740.

Almost surely, 2^137321331904 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 137321331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141005966400).

137321331904 is an abundant number, since it is smaller than the sum of its proper divisors (144690600896).

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

137321331904 is a wasteful number, since it uses less digits than its factorization.

137321331904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178361 (or 178351 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

It can be divided in two parts, 137321 and 331904, that added together give a square (469225 = 685²).

The spelling of 137321331904 in words is "one hundred thirty-seven billion, three hundred twenty-one million, three hundred thirty-one thousand, nine hundred four".