138208320625 has 20 divisors (see below), whose sum is σ = 172757050048. Its totient is φ = 110533410000.

The previous prime is 138208320623. The next prime is 138208320647. The reversal of 138208320625 is 526023802831.

138208320625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138208320625 - 2¹ = 138208320623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138208320623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2162884 + ... + 2225866.

Almost surely, 2^138208320625 is an apocalyptic number.

It is an amenable number.

138208320625 is a deficient number, since it is larger than the sum of its proper divisors (34548729423).

138208320625 is an frugal number, since it uses more digits than its factorization.

138208320625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66514 (or 66499 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 138208320625 in words is "one hundred thirty-eight billion, two hundred eight million, three hundred twenty thousand, six hundred twenty-five".