138433784832 has 440 divisors, whose sum is σ = 475876079360. Its totient is φ = 39265689600.

The previous prime is 138433784809. The next prime is 138433784843. The reversal of 138433784832 is 238487334831.

138433784832 is a `hidden beast` number, since 13 + 84 + 3 + 3 + 78 + 483 + 2 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 87671019 + ... + 87672597.

It is an arithmetic number, because the mean of its divisors is an integer number (1081536544).

Almost surely, 2^138433784832 is an apocalyptic number.

138433784832 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 138433784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237938039680).

138433784832 is an abundant number, since it is smaller than the sum of its proper divisors (337442294528).

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

138433784832 is a wasteful number, since it uses less digits than its factorization.

138433784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1742 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 138433784832 in words is "one hundred thirty-eight billion, four hundred thirty-three million, seven hundred eighty-four thousand, eight hundred thirty-two".