14132400 has 60 divisors (see below), whose sum is σ = 45274632. Its totient is φ = 3768320.

The previous prime is 14132387. The next prime is 14132401. The reversal of 14132400 is 423141.

14132400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14132400.

It is not an unprimeable number, because it can be changed into a prime (14132401) 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, 4689 + ... + 7088.

Almost surely, 2^14132400 is an apocalyptic number.

14132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132400 is an abundant number, since it is smaller than the sum of its proper divisors (31142232).

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

14132400 is a wasteful number, since it uses less digits than its factorization.

14132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14132400 is about 3759.3084470418. The cubic root of 14132400 is about 241.7716124988.

Adding to 14132400 its reverse (423141), we get a palindrome (14555541).

The spelling of 14132400 in words is "fourteen million, one hundred thirty-two thousand, four hundred".