137589648 has 160 divisors (see below), whose sum is σ = 424377600. Its totient is φ = 38384640.

The previous prime is 137589607. The next prime is 137589691. The reversal of 137589648 is 846985731.

137589648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137589648² = 37861822473527808, which contains 22 as substring.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 137589648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004236 + ... + 1004372.

It is an arithmetic number, because the mean of its divisors is an integer number (2652360).

Almost surely, 2^137589648 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 137589648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212188800).

137589648 is an abundant number, since it is smaller than the sum of its proper divisors (286787952).

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

137589648 is a wasteful number, since it uses less digits than its factorization.

137589648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 137589648 is about 11729.8613802551. The cubic root of 137589648 is about 516.2522052956.

The spelling of 137589648 in words is "one hundred thirty-seven million, five hundred eighty-nine thousand, six hundred forty-eight".