137338390 has 32 divisors (see below), whose sum is σ = 284606784. Its totient is φ = 46740480.

The previous prime is 137338381. The next prime is 137338433. The reversal of 137338390 is 93833731.

137338390 is digitally balanced in base 2, 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430 + ... + 16750.

It is an arithmetic number, because the mean of its divisors is an integer number (8893962).

Almost surely, 2^137338390 is an apocalyptic number.

137338390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137338390 is an abundant number, since it is smaller than the sum of its proper divisors (147268394).

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

137338390 is a wasteful number, since it uses less digits than its factorization.

137338390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14472.

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 137338390 is about 11719.1462999657. The cubic root of 137338390 is about 515.9377641623.

The spelling of 137338390 in words is "one hundred thirty-seven million, three hundred thirty-eight thousand, three hundred ninety".