16182144 has 96 divisors (see below), whose sum is σ = 50838840. Its totient is φ = 4899840.

The previous prime is 16182139. The next prime is 16182157. The reversal of 16182144 is 44128161.

It is a happy number.

16182144 is a `hidden beast` number, since 1 + 618 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12034 + ... + 13310.

Almost surely, 2^16182144 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 16182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25419420).

16182144 is an abundant number, since it is smaller than the sum of its proper divisors (34656696).

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

16182144 is a wasteful number, since it uses less digits than its factorization.

16182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1293 counting only the distinct ones).

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

The square root of 16182144 is about 4022.7035684972. The cubic root of 16182144 is about 252.9368003909.

The spelling of 16182144 in words is "sixteen million, one hundred eighty-two thousand, one hundred forty-four".