42135606 has 32 divisors (see below), whose sum is σ = 93849600. Its totient is φ = 14013000.

The previous prime is 42135581. The next prime is 42135607. The reversal of 42135606 is 60653124.

42135606 is a `hidden beast` number, since 4 + 21 + 35 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42135606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40035 + ... + 41073.

It is an arithmetic number, because the mean of its divisors is an integer number (2932800).

Almost surely, 2^42135606 is an apocalyptic number.

42135606 is an abundant number, since it is smaller than the sum of its proper divisors (51713994).

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

42135606 is a wasteful number, since it uses less digits than its factorization.

42135606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42135606 is about 6491.1944971631. The cubic root of 42135606 is about 347.9763658147.

The spelling of 42135606 in words is "forty-two million, one hundred thirty-five thousand, six hundred six".