138866133888 has 128 divisors (see below), whose sum is σ = 415965792000. Its totient is φ = 45597758976.

The previous prime is 138866133869. The next prime is 138866133893. The reversal of 138866133888 is 888331668831.

138866133888 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 6 + 613 + 3 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68308 + ... + 531411.

It is an arithmetic number, because the mean of its divisors is an integer number (3249732750).

Almost surely, 2^138866133888 is an apocalyptic number.

138866133888 is a gapful number since it is divisible by the number (18) 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 138866133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207982896000).

138866133888 is an abundant number, since it is smaller than the sum of its proper divisors (277099658112).

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

138866133888 is an equidigital number, since it uses as much as digits as its factorization.

138866133888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599809 (or 599791 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 138866133888 in words is "one hundred thirty-eight billion, eight hundred sixty-six million, one hundred thirty-three thousand, eight hundred eighty-eight".