66135132 has 144 divisors (see below), whose sum is σ = 202168512. Its totient is φ = 17832960.

The previous prime is 66135107. The next prime is 66135137. The reversal of 66135132 is 23153166.

66135132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×66135132³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66135096 and 66135105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66135137) 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 47 ways as a sum of consecutive naturals, for example, 382198 + ... + 382370.

It is an arithmetic number, because the mean of its divisors is an integer number (1403948).

Almost surely, 2^66135132 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 66135132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101084256).

66135132 is an abundant number, since it is smaller than the sum of its proper divisors (136033380).

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

66135132 is a wasteful number, since it uses less digits than its factorization.

66135132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 66135132 is about 8132.3509516007. The cubic root of 66135132 is about 404.3996225492.

Adding to 66135132 its reverse (23153166), we get a palindrome (89288298).

The spelling of 66135132 in words is "sixty-six million, one hundred thirty-five thousand, one hundred thirty-two".