14133200 has 60 divisors (see below), whose sum is σ = 34423020. Its totient is φ = 5575680.

The previous prime is 14133187. The next prime is 14133209. The reversal of 14133200 is 233141.

It can be written as a sum of positive squares in 6 ways, for example, as 678976 + 13454224 = 824^2 + 3668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35402 + ... + 35798.

It is an arithmetic number, because the mean of its divisors is an integer number (573717).

Almost surely, 2^14133200 is an apocalyptic number.

14133200 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 14133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211510).

14133200 is an abundant number, since it is smaller than the sum of its proper divisors (20289820).

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

14133200 is a wasteful number, since it uses less digits than its factorization.

14133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14133200 is about 3759.4148480847. The cubic root of 14133200 is about 241.7761744425.

Adding to 14133200 its reverse (233141), we get a palindrome (14366341).

The spelling of 14133200 in words is "fourteen million, one hundred thirty-three thousand, two hundred".