138113125 has 20 divisors (see below), whose sum is σ = 173953692. Its totient is φ = 109616000.

The previous prime is 138113111. The next prime is 138113141. The reversal of 138113125 is 521311831.

It can be written as a sum of positive squares in 10 ways, for example, as 92968164 + 45144961 = 9642^2 + 6719^2 .

It is not a de Polignac number, because 138113125 - 2⁹ = 138112613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138113125.

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 19 ways as a sum of consecutive naturals, for example, 84819 + ... + 86431.

Almost surely, 2^138113125 is an apocalyptic number.

It is an amenable number.

138113125 is a deficient number, since it is larger than the sum of its proper divisors (35840567).

138113125 is an equidigital number, since it uses as much as digits as its factorization.

138113125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 138113125 is about 11752.1540578738. The cubic root of 138113125 is about 516.9060920614.

Adding to 138113125 its reverse (521311831), we get a palindrome (659424956).

The spelling of 138113125 in words is "one hundred thirty-eight million, one hundred thirteen thousand, one hundred twenty-five".