18131200 has 54 divisors (see below), whose sum is σ = 44893394. Its totient is φ = 7249920.

The previous prime is 18131173. The next prime is 18131203. The reversal of 18131200 is 213181.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 17438976 = 832^2 + 4176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18131203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4984 + ... + 7816.

Almost surely, 2^18131200 is an apocalyptic number.

18131200 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 18131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22446697).

18131200 is an abundant number, since it is smaller than the sum of its proper divisors (26762194).

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

18131200 is an equidigital number, since it uses as much as digits as its factorization.

18131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 18131200 is about 4258.0746822948. The cubic root of 18131200 is about 262.7093416996.

Adding to 18131200 its reverse (213181), we get a palindrome (18344381).

The spelling of 18131200 in words is "eighteen million, one hundred thirty-one thousand, two hundred".