138618080 has 48 divisors (see below), whose sum is σ = 328243104. Its totient is φ = 55319040.

The previous prime is 138618071. The next prime is 138618083. The reversal of 138618080 is 80816831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 138618080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138618083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100274 + ... + 101646.

It is an arithmetic number, because the mean of its divisors is an integer number (6838398).

Almost surely, 2^138618080 is an apocalyptic number.

138618080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138618080 is an abundant number, since it is smaller than the sum of its proper divisors (189625024).

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

138618080 is a wasteful number, since it uses less digits than its factorization.

138618080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 138618080 is about 11773.6179656043. The cubic root of 138618080 is about 517.5352788539.

The spelling of 138618080 in words is "one hundred thirty-eight million, six hundred eighteen thousand, eighty".