14148200 has 96 divisors (see below), whose sum is σ = 36828000. Its totient is φ = 5011200.

The previous prime is 14148187. The next prime is 14148209. The reversal of 14148200 is 284141.

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 (14148209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129746 + ... + 129854.

It is an arithmetic number, because the mean of its divisors is an integer number (383625).

Almost surely, 2^14148200 is an apocalyptic number.

14148200 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 14148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414000).

14148200 is an abundant number, since it is smaller than the sum of its proper divisors (22679800).

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

14148200 is a wasteful number, since it uses less digits than its factorization.

14148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 14148200 is about 3761.4093103516. The cubic root of 14148200 is about 241.8616790310.

The spelling of 14148200 in words is "fourteen million, one hundred forty-eight thousand, two hundred".