138332823552 has 756 divisors, whose sum is σ = 515844509076. Its totient is φ = 35321610240.

The previous prime is 138332823539. The next prime is 138332823571. The reversal of 138332823552 is 255328233831.

138332823552 is a `hidden beast` number, since 1 + 38 + 332 + 8 + 235 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138332823498 and 138332823507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2344624099 + ... + 2344624157.

Almost surely, 2^138332823552 is an apocalyptic number.

138332823552 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 138332823552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257922254538).

138332823552 is an abundant number, since it is smaller than the sum of its proper divisors (377511685524).

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

138332823552 is an equidigital number, since it uses as much as digits as its factorization.

138332823552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 82 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 138332823552 in words is "one hundred thirty-eight billion, three hundred thirty-two million, eight hundred twenty-three thousand, five hundred fifty-two".