138638080 has 72 divisors (see below), whose sum is σ = 379546272. Its totient is φ = 47529984.

The previous prime is 138638069. The next prime is 138638113. The reversal of 138638080 is 80836831.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1224 + ... + 16696.

It is an arithmetic number, because the mean of its divisors is an integer number (5271476).

Almost surely, 2^138638080 is an apocalyptic number.

138638080 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 138638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189773136).

138638080 is an abundant number, since it is smaller than the sum of its proper divisors (240908192).

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

138638080 is an equidigital number, since it uses as much as digits as its factorization.

138638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501 (or 15487 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 138638080 is about 11774.4672915593. The cubic root of 138638080 is about 517.5601678819.

The spelling of 138638080 in words is "one hundred thirty-eight million, six hundred thirty-eight thousand, eighty".