14152800 has 72 divisors (see below), whose sum is σ = 46075176. Its totient is φ = 3773440.

The previous prime is 14152799. The next prime is 14152811. The reversal of 14152800 is 825141.

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 11 ways as a sum of consecutive naturals, for example, 549 + ... + 5348.

It is an arithmetic number, because the mean of its divisors is an integer number (639933).

Almost surely, 2^14152800 is an apocalyptic number.

14152800 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 14152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23037588).

14152800 is an abundant number, since it is smaller than the sum of its proper divisors (31922376).

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

14152800 is a wasteful number, since it uses less digits than its factorization.

14152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 14152800 is about 3762.0207335952. The cubic root of 14152800 is about 241.8878883290.

Adding to 14152800 its reverse (825141), we get a palindrome (14977941).

The spelling of 14152800 in words is "fourteen million, one hundred fifty-two thousand, eight hundred".