138992039424 has 800 divisors, whose sum is σ = 505747630080. Its totient is φ = 37121753088.

The previous prime is 138992039399. The next prime is 138992039429. The reversal of 138992039424 is 424930299831.

138992039424 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 9 + 203 + 9 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138992039429) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 623282577 + ... + 623282799.

Almost surely, 2^138992039424 is an apocalyptic number.

138992039424 is a gapful number since it is divisible by the number (14) 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 138992039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252873815040).

138992039424 is an abundant number, since it is smaller than the sum of its proper divisors (366755590656).

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

138992039424 is a wasteful number, since it uses less digits than its factorization.

138992039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 138992039424 in words is "one hundred thirty-eight billion, nine hundred ninety-two million, thirty-nine thousand, four hundred twenty-four".