138609120 has 192 divisors, whose sum is σ = 477126720. Its totient is φ = 33619968.

The previous prime is 138609103. The next prime is 138609127. The reversal of 138609120 is 21906831.

138609120 is digitally balanced in base 3, 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138609127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605166 + ... + 605394.

It is an arithmetic number, because the mean of its divisors is an integer number (2485035).

Almost surely, 2^138609120 is an apocalyptic number.

138609120 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 138609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238563360).

138609120 is an abundant number, since it is smaller than the sum of its proper divisors (338517600).

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

138609120 is a wasteful number, since it uses less digits than its factorization.

138609120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 138609120 is about 11773.2374477032. The cubic root of 138609120 is about 517.5241277929.

The spelling of 138609120 in words is "one hundred thirty-eight million, six hundred nine thousand, one hundred twenty".