137128704 has 144 divisors (see below), whose sum is σ = 388523520. Its totient is φ = 42864640.

The previous prime is 137128703. The next prime is 137128709. The reversal of 137128704 is 407821731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137128703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046719 + ... + 1046849.

It is an arithmetic number, because the mean of its divisors is an integer number (2698080).

Almost surely, 2^137128704 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 137128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194261760).

137128704 is an abundant number, since it is smaller than the sum of its proper divisors (251394816).

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

137128704 is a wasteful number, since it uses less digits than its factorization.

137128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 137128704 is about 11710.1965824661. The cubic root of 137128704 is about 515.6750553133.

The spelling of 137128704 in words is "one hundred thirty-seven million, one hundred twenty-eight thousand, seven hundred four".