138918120 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 30643200.

The previous prime is 138918113. The next prime is 138918133. The reversal of 138918120 is 21819831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727225 + ... + 727415.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^138918120 is an apocalyptic number.

138918120 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 138918120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

138918120 is an abundant number, since it is smaller than the sum of its proper divisors (358745880).

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

138918120 is a wasteful number, since it uses less digits than its factorization.

138918120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 138918120 is about 11786.3531255431. The cubic root of 138918120 is about 517.9084129206.

The spelling of 138918120 in words is "one hundred thirty-eight million, nine hundred eighteen thousand, one hundred twenty".