137631648 has 192 divisors, whose sum is σ = 461970432. Its totient is φ = 34836480.

The previous prime is 137631623. The next prime is 137631671. The reversal of 137631648 is 846136731.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 317640 + ... + 318072.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^137631648 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 137631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

137631648 is an abundant number, since it is smaller than the sum of its proper divisors (324338784).

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

137631648 is a wasteful number, since it uses less digits than its factorization.

137631648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 137631648 is about 11731.6515461379. The cubic root of 137631648 is about 516.3047295638.

The spelling of 137631648 in words is "one hundred thirty-seven million, six hundred thirty-one thousand, six hundred forty-eight".