14148800 has 84 divisors (see below), whose sum is σ = 35905440. Its totient is φ = 5483520.

The previous prime is 14148791. The next prime is 14148829. The reversal of 14148800 is 884141.

14148800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14148800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59081 + ... + 59319.

Almost surely, 2^14148800 is an apocalyptic number.

14148800 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 14148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952720).

14148800 is an abundant number, since it is smaller than the sum of its proper divisors (21756640).

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

14148800 is a wasteful number, since it uses less digits than its factorization.

14148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 14148800 is about 3761.4890668457. The cubic root of 14148800 is about 241.8650979572.

The spelling of 14148800 in words is "fourteen million, one hundred forty-eight thousand, eight hundred".