138319120 has 40 divisors (see below), whose sum is σ = 328443264. Its totient is φ = 54148992.

The previous prime is 138319087. The next prime is 138319163. The reversal of 138319120 is 21913831.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 14634 + ... + 22153.

Almost surely, 2^138319120 is an apocalyptic number.

138319120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138319120 is an abundant number, since it is smaller than the sum of its proper divisors (190124144).

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

138319120 is a wasteful number, since it uses less digits than its factorization.

138319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36847 (or 36841 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 138319120 is about 11760.9149303955. The cubic root of 138319120 is about 517.1629519751.

It can be divided in two parts, 1383 and 19120, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 138319120 in words is "one hundred thirty-eight million, three hundred nineteen thousand, one hundred twenty".