137817648 has 60 divisors (see below), whose sum is σ = 386493120. Its totient is φ = 45844608.

The previous prime is 137817629. The next prime is 137817653. The reversal of 137817648 is 846718731.

137817648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123718 + ... + 124826.

It is an arithmetic number, because the mean of its divisors is an integer number (6441552).

Almost surely, 2^137817648 is an apocalyptic number.

137817648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137817648 is an abundant number, since it is smaller than the sum of its proper divisors (248675472).

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

137817648 is a wasteful number, since it uses less digits than its factorization.

137817648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1977 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 137817648 is about 11739.5761422634. The cubic root of 137817648 is about 516.5372086798.

The spelling of 137817648 in words is "one hundred thirty-seven million, eight hundred seventeen thousand, six hundred forty-eight".