137931648 has 64 divisors (see below), whose sum is σ = 378232320. Its totient is φ = 44490240.

The previous prime is 137931623. The next prime is 137931649. The reversal of 137931648 is 846139731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137931649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6111 + ... + 17697.

It is an arithmetic number, because the mean of its divisors is an integer number (5909880).

Almost surely, 2^137931648 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 137931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189116160).

137931648 is an abundant number, since it is smaller than the sum of its proper divisors (240300672).

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

137931648 is a wasteful number, since it uses less digits than its factorization.

137931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11635 (or 11623 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 137931648 is about 11744.4305098204. The cubic root of 137931648 is about 516.6795925082.

The spelling of 137931648 in words is "one hundred thirty-seven million, nine hundred thirty-one thousand, six hundred forty-eight".