138938881392 has 240 divisors, whose sum is σ = 427659628032. Its totient is φ = 43516984320.

The previous prime is 138938881373. The next prime is 138938881427. The reversal of 138938881392 is 293188839831.

138938881392 is a `hidden beast` number, since 1 + 3 + 8 + 93 + 88 + 81 + 392 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52016217 + ... + 52018887.

Almost surely, 2^138938881392 is an apocalyptic number.

138938881392 is a gapful number since it is divisible by the number (12) 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 138938881392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213829814016).

138938881392 is an abundant number, since it is smaller than the sum of its proper divisors (288720746640).

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

138938881392 is a wasteful number, since it uses less digits than its factorization.

138938881392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3480 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 138938881392 in words is "one hundred thirty-eight billion, nine hundred thirty-eight million, eight hundred eighty-one thousand, three hundred ninety-two".