137238368 has 24 divisors (see below), whose sum is σ = 284409720. Its totient is φ = 65007360.

The previous prime is 137238347. The next prime is 137238371. The reversal of 137238368 is 863832731.

137238368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112253 + ... + 113468.

It is an arithmetic number, because the mean of its divisors is an integer number (11850405).

Almost surely, 2^137238368 is an apocalyptic number.

It is an amenable number.

137238368 is an abundant number, since it is smaller than the sum of its proper divisors (147171352).

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

137238368 is a wasteful number, since it uses less digits than its factorization.

137238368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225750 (or 225742 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 137238368 is about 11714.8780616787. The cubic root of 137238368 is about 515.8124831928.

The spelling of 137238368 in words is "one hundred thirty-seven million, two hundred thirty-eight thousand, three hundred sixty-eight".