18132200 has 48 divisors (see below), whose sum is σ = 44645580. Its totient is φ = 6824960.

The previous prime is 18132199. The next prime is 18132229. The reversal of 18132200 is 223181.

It can be written as a sum of positive squares in 6 ways, for example, as 15194404 + 2937796 = 3898^2 + 1714^2 .

It is a super-3 number, since 3×18132200³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734 + ... + 6066.

Almost surely, 2^18132200 is an apocalyptic number.

18132200 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 18132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22322790).

18132200 is an abundant number, since it is smaller than the sum of its proper divisors (26513380).

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

18132200 is a wasteful number, since it uses less digits than its factorization.

18132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 18132200 is about 4258.1921046378. The cubic root of 18132200 is about 262.7141713949.

Adding to 18132200 its reverse (223181), we get a palindrome (18355381).

The spelling of 18132200 in words is "eighteen million, one hundred thirty-two thousand, two hundred".