42135253124 has 24 divisors (see below), whose sum is σ = 74527842648. Its totient is φ = 20841926400.

The previous prime is 42135253123. The next prime is 42135253133.

42135253124 is nontrivially palindromic in base 10.

42135253124 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 32934990400 + 9200262724 = 181480^2 + 95918^2 .

It is not an unprimeable number, because it can be changed into a prime (42135253123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457592 + ... + 541904.

It is an arithmetic number, because the mean of its divisors is an integer number (3105326777).

Almost surely, 2^42135253124 is an apocalyptic number.

It is an amenable number.

42135253124 is a deficient number, since it is larger than the sum of its proper divisors (32392589524).

42135253124 is a wasteful number, since it uses less digits than its factorization.

42135253124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85655 (or 85653 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The spelling of 42135253124 in words is "forty-two billion, one hundred thirty-five million, two hundred fifty-three thousand, one hundred twenty-four".