138525586800 has 120 divisors (see below), whose sum is σ = 463036923264. Its totient is φ = 35334055680.

The previous prime is 138525586789. The next prime is 138525586819. The reversal of 138525586800 is 8685525831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481922 + ... + 2537121.

Almost surely, 2^138525586800 is an apocalyptic number.

138525586800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138525586800 is an abundant number, since it is smaller than the sum of its proper divisors (324511336464).

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

138525586800 is a wasteful number, since it uses less digits than its factorization.

138525586800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019087 (or 5019076 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The spelling of 138525586800 in words is "one hundred thirty-eight billion, five hundred twenty-five million, five hundred eighty-six thousand, eight hundred".