138838320 has 320 divisors, whose sum is σ = 535680000. Its totient is φ = 32845824.

The previous prime is 138838291. The next prime is 138838321. The reversal of 138838320 is 23838831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138838321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697581 + ... + 697779.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 2^138838320 is an apocalyptic number.

138838320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138838320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840000).

138838320 is an abundant number, since it is smaller than the sum of its proper divisors (396841680).

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

138838320 is a wasteful number, since it uses less digits than its factorization.

138838320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138838320 is about 11782.9673681972. The cubic root of 138838320 is about 517.8092249779.

The spelling of 138838320 in words is "one hundred thirty-eight million, eight hundred thirty-eight thousand, three hundred twenty".