138012120 has 128 divisors (see below), whose sum is σ = 487166400. Its totient is φ = 34633728.

The previous prime is 138012113. The next prime is 138012139. The reversal of 138012120 is 21210831.

138012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 138012093 and 138012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14602 + ... + 22118.

Almost surely, 2^138012120 is an apocalyptic number.

138012120 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 138012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243583200).

138012120 is an abundant number, since it is smaller than the sum of its proper divisors (349154280).

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

138012120 is a wasteful number, since it uses less digits than its factorization.

138012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 138012120 is about 11747.8559746023. The cubic root of 138012120 is about 516.7800532739.

Adding to 138012120 its reverse (21210831), we get a palindrome (159222951).

The spelling of 138012120 in words is "one hundred thirty-eight million, twelve thousand, one hundred twenty".