138216479120 has 80 divisors (see below), whose sum is σ = 327487581120. Its totient is φ = 54236044800.

The previous prime is 138216479077. The next prime is 138216479161. The reversal of 138216479120 is 21974612831.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812155 + ... + 1886885.

It is an arithmetic number, because the mean of its divisors is an integer number (4093594764).

Almost surely, 2^138216479120 is an apocalyptic number.

138216479120 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 138216479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163743790560).

138216479120 is an abundant number, since it is smaller than the sum of its proper divisors (189271102000).

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

138216479120 is a wasteful number, since it uses less digits than its factorization.

138216479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75184 (or 75178 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 138216479120 in words is "one hundred thirty-eight billion, two hundred sixteen million, four hundred seventy-nine thousand, one hundred twenty".