66045136 has 20 divisors (see below), whose sum is σ = 135490212. Its totient is φ = 31079936.

The previous prime is 66045103. The next prime is 66045143. The reversal of 66045136 is 63154066.

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 44142736 = 4680^2 + 6644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66045098 and 66045107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121135 + ... + 121678.

Almost surely, 2^66045136 is an apocalyptic number.

It is an amenable number.

66045136 is an abundant number, since it is smaller than the sum of its proper divisors (69445076).

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

66045136 is a wasteful number, since it uses less digits than its factorization.

66045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242838 (or 242832 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 66045136 is about 8126.8158586251. The cubic root of 66045136 is about 404.2161050139.

It can be divided in two parts, 660 and 45136, that added together give a square (45796 = 214²).

The spelling of 66045136 in words is "sixty-six million, forty-five thousand, one hundred thirty-six".