137868768 has 36 divisors (see below), whose sum is σ = 392065128. Its totient is φ = 45956160.

The previous prime is 137868767. The next prime is 137868791. The reversal of 137868768 is 867868731.

137868768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137868767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 239068 + ... + 239643.

It is an arithmetic number, because the mean of its divisors is an integer number (10890698).

Almost surely, 2^137868768 is an apocalyptic number.

137868768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137868768 is an abundant number, since it is smaller than the sum of its proper divisors (254196360).

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

137868768 is a wasteful number, since it uses less digits than its factorization.

137868768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478727 (or 478716 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 137868768 is about 11741.7531910699. The cubic root of 137868768 is about 516.6010662925.

The spelling of 137868768 in words is "one hundred thirty-seven million, eight hundred sixty-eight thousand, seven hundred sixty-eight".