18141200 has 240 divisors, whose sum is σ = 59043840. Its totient is φ = 5184000.

The previous prime is 18141199. The next prime is 18141223. The reversal of 18141200 is 214181.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 585185 + ... + 585215.

It is an arithmetic number, because the mean of its divisors is an integer number (246016).

Almost surely, 2^18141200 is an apocalyptic number.

18141200 is a gapful number since it is divisible by the number (10) 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 18141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29521920).

18141200 is an abundant number, since it is smaller than the sum of its proper divisors (40902640).

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

18141200 is a wasteful number, since it uses less digits than its factorization.

18141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 18141200 is about 4259.2487600515. The cubic root of 18141200 is about 262.7576306635.

Adding to 18141200 its reverse (214181), we get a palindrome (18355381).

The spelling of 18141200 in words is "eighteen million, one hundred forty-one thousand, two hundred".