14148400 has 120 divisors (see below), whose sum is σ = 40346624. Its totient is φ = 4665600.

The previous prime is 14148397. The next prime is 14148451. The reversal of 14148400 is 484141.

It is a congruent number.

It is an unprimeable number.

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, 86719 + ... + 86881.

Almost surely, 2^14148400 is an apocalyptic number.

14148400 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 14148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20173312).

14148400 is an abundant number, since it is smaller than the sum of its proper divisors (26198224).

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

14148400 is a wasteful number, since it uses less digits than its factorization.

14148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 14148400 is about 3761.4358960376. The cubic root of 14148400 is about 241.8628186838.

The spelling of 14148400 in words is "fourteen million, one hundred forty-eight thousand, four hundred".