138918960180 has 2592 divisors, whose sum is σ = 667574369280. Its totient is φ = 22992076800.

The previous prime is 138918960151. The next prime is 138918960203. The reversal of 138918960180 is 81069819831.

138918960180 is a `hidden beast` number, since 1 + 389 + 1 + 89 + 6 + 0 + 180 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4481256765 + ... + 4481256795.

It is an arithmetic number, because the mean of its divisors is an integer number (257551840).

Almost surely, 2^138918960180 is an apocalyptic number.

138918960180 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 138918960180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333787184640).

138918960180 is an abundant number, since it is smaller than the sum of its proper divisors (528655409100).

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

138918960180 is a wasteful number, since it uses less digits than its factorization.

138918960180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 138918960180 in words is "one hundred thirty-eight billion, nine hundred eighteen million, nine hundred sixty thousand, one hundred eighty".