138624560113 has 8 divisors (see below), whose sum is σ = 158069634408. Its totient is φ = 120434006784.

The previous prime is 138624560089. The next prime is 138624560117. The reversal of 138624560113 is 311065426831.

138624560113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8334769 + 138616225344 = 2887^2 + 372312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 138624560113 - 2²⁵ = 138591005681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138624560117) 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 7 ways as a sum of consecutive naturals, for example, 313630006 + ... + 313630447.

It is an arithmetic number, because the mean of its divisors is an integer number (19758704301).

Almost surely, 2^138624560113 is an apocalyptic number.

138624560113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138624560113 is a deficient number, since it is larger than the sum of its proper divisors (19445074295).

138624560113 is a wasteful number, since it uses less digits than its factorization.

138624560113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627260483.

The product of its (nonzero) digits is 103680, while the sum is 40.

Adding to 138624560113 its reverse (311065426831), we get a palindrome (449689986944).

The spelling of 138624560113 in words is "one hundred thirty-eight billion, six hundred twenty-four million, five hundred sixty thousand, one hundred thirteen".