138615120 has 180 divisors, whose sum is σ = 541656180. Its totient is φ = 31675392.

The previous prime is 138615023. The next prime is 138615121. The reversal of 138615120 is 21516831.

138615120 is a `hidden beast` number, since 1 + 38 + 615 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 105021504 = 5796^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×138615120² = 38428302985228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138615121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33316 + ... + 37244.

It is an arithmetic number, because the mean of its divisors is an integer number (3009201).

Almost surely, 2^138615120 is an apocalyptic number.

138615120 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 138615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270828090).

138615120 is an abundant number, since it is smaller than the sum of its proper divisors (403041060).

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

138615120 is a wasteful number, since it uses less digits than its factorization.

138615120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 138615120 is about 11773.4922601580. The cubic root of 138615120 is about 517.5315950744.

It can be divided in two parts, 13861 and 5120, that added together give a palindrome (18981).

The spelling of 138615120 in words is "one hundred thirty-eight million, six hundred fifteen thousand, one hundred twenty".