138377944224 has 864 divisors, whose sum is σ = 486613370880. Its totient is φ = 36954537984.

The previous prime is 138377944183. The next prime is 138377944259. The reversal of 138377944224 is 422449773831.

138377944224 is a `hidden beast` number, since 1 + 3 + 8 + 377 + 9 + 44 + 224 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1089590049 + ... + 1089590175.

It is an arithmetic number, because the mean of its divisors is an integer number (563209920).

Almost surely, 2^138377944224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138377944224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243306685440).

138377944224 is an abundant number, since it is smaller than the sum of its proper divisors (348235426656).

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

138377944224 is a wasteful number, since it uses less digits than its factorization.

138377944224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 138377944224 in words is "one hundred thirty-eight billion, three hundred seventy-seven million, nine hundred forty-four thousand, two hundred twenty-four".