42135696 has 60 divisors (see below), whose sum is σ = 121738240. Its totient is φ = 13590720.

The previous prime is 42135683. The next prime is 42135713. The reversal of 42135696 is 69653124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42135696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 9183.

Almost surely, 2^42135696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42135696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60869120).

42135696 is an abundant number, since it is smaller than the sum of its proper divisors (79602544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42135696 is a wasteful number, since it uses less digits than its factorization.

42135696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9475 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 42135696 is about 6491.2014296276. The cubic root of 42135696 is about 347.9766135691.

The spelling of 42135696 in words is "forty-two million, one hundred thirty-five thousand, six hundred ninety-six".