18135200 has 36 divisors (see below), whose sum is σ = 44274510. Its totient is φ = 7253760.

The previous prime is 18135199. The next prime is 18135203. The reversal of 18135200 is 253181.

It can be written as a sum of positive squares in 3 ways, for example, as 17205904 + 929296 = 4148^2 + 964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (18135203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10535 + ... + 12134.

Almost surely, 2^18135200 is an apocalyptic number.

18135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18135200 is an abundant number, since it is smaller than the sum of its proper divisors (26139310).

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

18135200 is a wasteful number, since it uses less digits than its factorization.

18135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22689 (or 22676 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 18135200 is about 4258.5443522406. The cubic root of 18135200 is about 262.7286594153.

Adding to 18135200 its reverse (253181), we get a palindrome (18388381).

It can be divided in two parts, 18 and 135200, that multiplied together give a square (2433600 = 1560²).

The spelling of 18135200 in words is "eighteen million, one hundred thirty-five thousand, two hundred".