138839503040 has 112 divisors (see below), whose sum is σ = 380026907712. Its totient is φ = 47326826496.

The previous prime is 138839503039. The next prime is 138839503069. The reversal of 138839503040 is 40305938831.

138839503040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×138839503040³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138839502982 and 138839503000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208382 + ... + 566658.

Almost surely, 2^138839503040 is an apocalyptic number.

138839503040 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 138839503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190013453856).

138839503040 is an abundant number, since it is smaller than the sum of its proper divisors (241187404672).

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

138839503040 is a wasteful number, since it uses less digits than its factorization.

138839503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358474 (or 358464 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 138839503040 in words is "one hundred thirty-eight billion, eight hundred thirty-nine million, five hundred three thousand, forty".