66753135 has 48 divisors (see below), whose sum is σ = 124338240. Its totient is φ = 33008640.

The previous prime is 66753121. The next prime is 66753139. The reversal of 66753135 is 53135766.

It is a happy number.

It is not a de Polignac number, because 66753135 - 2⁴ = 66753119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66753135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66753139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53701 + ... + 54929.

It is an arithmetic number, because the mean of its divisors is an integer number (2590380).

Almost surely, 2^66753135 is an apocalyptic number.

66753135 is a deficient number, since it is larger than the sum of its proper divisors (57585105).

66753135 is a wasteful number, since it uses less digits than its factorization.

66753135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1325 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 66753135 is about 8170.2591758157. The cubic root of 66753135 is about 405.6553632572.

The spelling of 66753135 in words is "sixty-six million, seven hundred fifty-three thousand, one hundred thirty-five".