163164144 has 120 divisors (see below), whose sum is σ = 499179856. Its totient is φ = 45619200.

The previous prime is 163164143. The next prime is 163164149. The reversal of 163164144 is 441461361.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163164143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74424 + ... + 76584.

Almost surely, 2^163164144 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 163164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249589928).

163164144 is an abundant number, since it is smaller than the sum of its proper divisors (336015712).

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

163164144 is a wasteful number, since it uses less digits than its factorization.

163164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2190 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 163164144 is about 12773.5720924102. The cubic root of 163164144 is about 546.4388587458.

The spelling of 163164144 in words is "one hundred sixty-three million, one hundred sixty-four thousand, one hundred forty-four".