138216120 has 128 divisors (see below), whose sum is σ = 501811200. Its totient is φ = 29730816.

The previous prime is 138216107. The next prime is 138216139. The reversal of 138216120 is 21612831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9441 + ... + 19119.

It is an arithmetic number, because the mean of its divisors is an integer number (3920400).

Almost surely, 2^138216120 is an apocalyptic number.

138216120 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 138216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250905600).

138216120 is an abundant number, since it is smaller than the sum of its proper divisors (363595080).

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

138216120 is a wasteful number, since it uses less digits than its factorization.

138216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9717 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 138216120 is about 11756.5352038770. The cubic root of 138216120 is about 517.0345508026.

Adding to 138216120 its reverse (21612831), we get a palindrome (159828951).

It can be divided in two parts, 138216 and 120, that multiplied together give a triangular number (16585920 = T₅₇₅₉).

The spelling of 138216120 in words is "one hundred thirty-eight million, two hundred sixteen thousand, one hundred twenty".