16144000 has 64 divisors (see below), whose sum is σ = 40177800. Its totient is φ = 6451200.

The previous prime is 16143997. The next prime is 16144003. The reversal of 16144000 is 44161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16143997) and next prime (16144003).

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 12787776 = 1832^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (16144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15496 + ... + 16504.

Almost surely, 2^16144000 is an apocalyptic number.

16144000 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 16144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088900).

16144000 is an abundant number, since it is smaller than the sum of its proper divisors (24033800).

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

16144000 is an equidigital number, since it uses as much as digits as its factorization.

16144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 16144000 is about 4017.9596812313. The cubic root of 16144000 is about 252.7379060227.

Adding to 16144000 its reverse (44161), we get a palindrome (16188161).

The spelling of 16144000 in words is "sixteen million, one hundred forty-four thousand".