138938072 has 64 divisors (see below), whose sum is σ = 331732800. Its totient is φ = 53061120.

The previous prime is 138938057. The next prime is 138938077. The reversal of 138938072 is 270839831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138938077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17822 + ... + 24402.

It is an arithmetic number, because the mean of its divisors is an integer number (5183325).

Almost surely, 2^138938072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138938072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165866400).

138938072 is an abundant number, since it is smaller than the sum of its proper divisors (192794728).

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

138938072 is a wasteful number, since it uses less digits than its factorization.

138938072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 138938072 is about 11787.1994977603. The cubic root of 138938072 is about 517.9332064560.

The spelling of 138938072 in words is "one hundred thirty-eight million, nine hundred thirty-eight thousand, seventy-two".