18102144 has 128 divisors (see below), whose sum is σ = 52876800. Its totient is φ = 5464064.

The previous prime is 18102143. The next prime is 18102151. The reversal of 18102144 is 44120181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 18102144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18102143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306787 + ... + 306845.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 2^18102144 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 18102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

18102144 is an abundant number, since it is smaller than the sum of its proper divisors (34774656).

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

18102144 is a wasteful number, since it uses less digits than its factorization.

18102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18102144 is about 4254.6614436404. The cubic root of 18102144 is about 262.5689324637.

The spelling of 18102144 in words is "eighteen million, one hundred two thousand, one hundred forty-four".