182164128 has 48 divisors (see below), whose sum is σ = 479193120. Its totient is φ = 60592896.

The previous prime is 182164123. The next prime is 182164141. The reversal of 182164128 is 821461281.

182164128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (182164123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50778 + ... + 54246.

It is an arithmetic number, because the mean of its divisors is an integer number (9983190).

Almost surely, 2^182164128 is an apocalyptic number.

It is an amenable number.

182164128 is an abundant number, since it is smaller than the sum of its proper divisors (297028992).

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

182164128 is a wasteful number, since it uses less digits than its factorization.

182164128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4021 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 182164128 is about 13496.8191808292. The cubic root of 182164128 is about 566.8754115989.

The spelling of 182164128 in words is "one hundred eighty-two million, one hundred sixty-four thousand, one hundred twenty-eight".