138520825400 has 72 divisors (see below), whose sum is σ = 327613744920. Its totient is φ = 54468932160.

The previous prime is 138520825379. The next prime is 138520825403. The reversal of 138520825400 is 4528025831.

138520825400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138520825403) 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 17 ways as a sum of consecutive naturals, for example, 596717 + ... + 795683.

Almost surely, 2^138520825400 is an apocalyptic number.

138520825400 is a gapful number since it is divisible by the number (10) 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 138520825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163806872460).

138520825400 is an abundant number, since it is smaller than the sum of its proper divisors (189092919520).

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

138520825400 is a wasteful number, since it uses less digits than its factorization.

138520825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199101 (or 199033 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 138520825400 in words is "one hundred thirty-eight billion, five hundred twenty million, eight hundred twenty-five thousand, four hundred".