138868005825 has 288 divisors, whose sum is σ = 285169248000. Its totient is φ = 66677022720.

The previous prime is 138868005799. The next prime is 138868005833. The reversal of 138868005825 is 528500868831.

It is a happy number.

It is not a de Polignac number, because 138868005825 - 2³¹ = 136720522177 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 595999909 + ... + 596000141.

It is an arithmetic number, because the mean of its divisors is an integer number (990171000).

Almost surely, 2^138868005825 is an apocalyptic number.

138868005825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138868005825 is an abundant number, since it is smaller than the sum of its proper divisors (146301242175).

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

138868005825 is a wasteful number, since it uses less digits than its factorization.

138868005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 138868005825 in words is "one hundred thirty-eight billion, eight hundred sixty-eight million, five thousand, eight hundred twenty-five".