18142200 has 72 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 4837440.

The previous prime is 18142199. The next prime is 18142217. The reversal of 18142200 is 224181.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 3240 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^18142200 is an apocalyptic number.

18142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18142200 is an abundant number, since it is smaller than the sum of its proper divisors (42791400).

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

18142200 is a wasteful number, since it uses less digits than its factorization.

18142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18142200 is about 4259.3661500275. The cubic root of 18142200 is about 262.7624585838.

Adding to 18142200 its reverse (224181), we get a palindrome (18366381).

The spelling of 18142200 in words is "eighteen million, one hundred forty-two thousand, two hundred".