138137310 has 48 divisors (see below), whose sum is σ = 374778144. Its totient is φ = 35234496.

The previous prime is 138137309. The next prime is 138137357. The reversal of 138137310 is 13731831.

It is a super-2 number, since 2×138137310² = 38163832828072200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31297 + ... + 35436.

It is an arithmetic number, because the mean of its divisors is an integer number (7807878).

Almost surely, 2^138137310 is an apocalyptic number.

138137310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138137310 is an abundant number, since it is smaller than the sum of its proper divisors (236640834).

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

138137310 is a wasteful number, since it uses less digits than its factorization.

138137310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66769 (or 66766 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 138137310 is about 11753.1829731354. The cubic root of 138137310 is about 516.9362621224.

The spelling of 138137310 in words is "one hundred thirty-eight million, one hundred thirty-seven thousand, three hundred ten".