42135125 has 8 divisors (see below), whose sum is σ = 52584792. Its totient is φ = 33708000.

The previous prime is 42135113. The next prime is 42135127. The reversal of 42135125 is 52153124.

42135125 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 13126129 + 29008996 = 3623^2 + 5386^2 .

It is not a de Polignac number, because 42135125 - 2⁴ = 42135109 is a prime.

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 42135125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135127) 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 7 ways as a sum of consecutive naturals, for example, 168416 + ... + 168665.

It is an arithmetic number, because the mean of its divisors is an integer number (6573099).

Almost surely, 2^42135125 is an apocalyptic number.

It is an amenable number.

42135125 is a deficient number, since it is larger than the sum of its proper divisors (10449667).

42135125 is an equidigital number, since it uses as much as digits as its factorization.

42135125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337096 (or 337086 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 42135125 is about 6491.1574468657. The cubic root of 42135125 is about 347.9750416988.

Adding to 42135125 its reverse (52153124), we get a palindrome (94288249).

The spelling of 42135125 in words is "forty-two million, one hundred thirty-five thousand, one hundred twenty-five".