18149200 has 90 divisors (see below), whose sum is σ = 46614266. Its totient is φ = 6789120.

The previous prime is 18149177. The next prime is 18149207. The reversal of 18149200 is 294181.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 2085136 + 16064064 = 1444^2 + 4008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18149207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115522 + ... + 115678.

Almost surely, 2^18149200 is an apocalyptic number.

18149200 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 18149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23307133).

18149200 is an abundant number, since it is smaller than the sum of its proper divisors (28465066).

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

18149200 is a wasteful number, since it uses less digits than its factorization.

18149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 18149200 is about 4260.1877892882. The cubic root of 18149200 is about 262.7962490594.

The spelling of 18149200 in words is "eighteen million, one hundred forty-nine thousand, two hundred".