14164128 has 144 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 4024320.

The previous prime is 14164127. The next prime is 14164153. The reversal of 14164128 is 82146141.

It is a happy number.

14164128 is a `hidden beast` number, since 14 + 1 + 641 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (14164121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53725 + ... + 53987.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 2^14164128 is an apocalyptic number.

14164128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

14164128 is an abundant number, since it is smaller than the sum of its proper divisors (32538528).

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

14164128 is a wasteful number, since it uses less digits than its factorization.

14164128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14164128 is about 3763.5260062872. The cubic root of 14164128 is about 241.9524073701.

The spelling of 14164128 in words is "fourteen million, one hundred sixty-four thousand, one hundred twenty-eight".