138042125 has 64 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 90547200.

The previous prime is 138042109. The next prime is 138042127. The reversal of 138042125 is 521240831.

It is not a de Polignac number, because 138042125 - 2⁴ = 138042109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138042094 and 138042103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138042127) 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 63 ways as a sum of consecutive naturals, for example, 524744 + ... + 525006.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^138042125 is an apocalyptic number.

It is an amenable number.

138042125 is a deficient number, since it is larger than the sum of its proper divisors (69525235).

138042125 is a wasteful number, since it uses less digits than its factorization.

138042125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 138042125 is about 11749.1329467327. The cubic root of 138042125 is about 516.8175013423.

Adding to 138042125 its reverse (521240831), we get a palindrome (659282956).

The spelling of 138042125 in words is "one hundred thirty-eight million, forty-two thousand, one hundred twenty-five".