66128148 has 36 divisors (see below), whose sum is σ = 169903188. Its totient is φ = 21680640.

The previous prime is 66128143. The next prime is 66128191. The reversal of 66128148 is 84182166.

It can be written as a sum of positive squares in 2 ways, for example, as 30272004 + 35856144 = 5502^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×66128148³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66128143) 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 11 ways as a sum of consecutive naturals, for example, 12861 + ... + 17252.

It is an arithmetic number, because the mean of its divisors is an integer number (4719533).

Almost surely, 2^66128148 is an apocalyptic number.

It is an amenable number.

66128148 is an abundant number, since it is smaller than the sum of its proper divisors (103775040).

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

66128148 is a wasteful number, since it uses less digits than its factorization.

66128148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30184 (or 30179 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 66128148 is about 8131.9215441370. The cubic root of 66128148 is about 404.3853869163.

The spelling of 66128148 in words is "sixty-six million, one hundred twenty-eight thousand, one hundred forty-eight".