138533824325 has 48 divisors (see below), whose sum is σ = 191488577280. Its totient is φ = 98715697920.

The previous prime is 138533824321. The next prime is 138533824349. The reversal of 138533824325 is 523428335831.

It is a happy number.

It is not a de Polignac number, because 138533824325 - 2² = 138533824321 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138533824325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138533824321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21551762 + ... + 21558188.

It is an arithmetic number, because the mean of its divisors is an integer number (3989345360).

Almost surely, 2^138533824325 is an apocalyptic number.

It is an amenable number.

138533824325 is a deficient number, since it is larger than the sum of its proper divisors (52954752955).

138533824325 is a wasteful number, since it uses less digits than its factorization.

138533824325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8761 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 47.

The spelling of 138533824325 in words is "one hundred thirty-eight billion, five hundred thirty-three million, eight hundred twenty-four thousand, three hundred twenty-five".