18148200 has 192 divisors, whose sum is σ = 66960000. Its totient is φ = 3978240.

The previous prime is 18148181. The next prime is 18148217. The reversal of 18148200 is 284181.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121726 + ... + 121874.

It is an arithmetic number, because the mean of its divisors is an integer number (348750).

Almost surely, 2^18148200 is an apocalyptic number.

18148200 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 18148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480000).

18148200 is an abundant number, since it is smaller than the sum of its proper divisors (48811800).

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

18148200 is a wasteful number, since it uses less digits than its factorization.

18148200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 18148200 is about 4260.0704219531. The cubic root of 18148200 is about 262.7914223806.

The spelling of 18148200 in words is "eighteen million, one hundred forty-eight thousand, two hundred".