137925648 has 120 divisors (see below), whose sum is σ = 443596608. Its totient is φ = 39188736.

The previous prime is 137925647. The next prime is 137925659. The reversal of 137925648 is 846529731.

137925648 is a `hidden beast` number, since 13 + 79 + 2 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (137925643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295111 + ... + 295577.

Almost surely, 2^137925648 is an apocalyptic number.

137925648 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 137925648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

137925648 is an abundant number, since it is smaller than the sum of its proper divisors (305670960).

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

137925648 is a wasteful number, since it uses less digits than its factorization.

137925648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 137925648 is about 11744.1750668150. The cubic root of 137925648 is about 516.6721005788.

The spelling of 137925648 in words is "one hundred thirty-seven million, nine hundred twenty-five thousand, six hundred forty-eight".