137968128 has 120 divisors (see below), whose sum is σ = 404289600. Its totient is φ = 45287424.

The previous prime is 137968111. The next prime is 137968147. The reversal of 137968128 is 821869731.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363843 + ... + 364221.

It is an arithmetic number, because the mean of its divisors is an integer number (3369080).

Almost surely, 2^137968128 is an apocalyptic number.

137968128 is a gapful number since it is divisible by the number (18) 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 137968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202144800).

137968128 is an abundant number, since it is smaller than the sum of its proper divisors (266321472).

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

137968128 is an equidigital number, since it uses as much as digits as its factorization.

137968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 137968128 is about 11745.9834837275. The cubic root of 137968128 is about 516.7251387633.

The spelling of 137968128 in words is "one hundred thirty-seven million, nine hundred sixty-eight thousand, one hundred twenty-eight".