14144000 has 160 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 4915200.

The previous prime is 14143993. The next prime is 14144003. The reversal of 14144000 is 44141.

It can be written as a sum of positive squares in 8 ways, for example, as 246016 + 13897984 = 496^2 + 3728^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (14144003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831992 + ... + 832008.

Almost surely, 2^14144000 is an apocalyptic number.

14144000 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 14144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

14144000 is an abundant number, since it is smaller than the sum of its proper divisors (26072176).

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

14144000 is an equidigital number, since it uses as much as digits as its factorization.

14144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 14144000 is about 3760.8509675338. The cubic root of 14144000 is about 241.8377438405.

Adding to 14144000 its reverse (44141), we get a palindrome (14188141).

The spelling of 14144000 in words is "fourteen million, one hundred forty-four thousand".