144810216 has 96 divisors (see below), whose sum is σ = 418097160. Its totient is φ = 45121536.

The previous prime is 144810203. The next prime is 144810217. The reversal of 144810216 is 612018441.

It is a happy number.

144810216 is a `hidden beast` number, since 1 + 448 + 1 + 0 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78322500 + 66487716 = 8850^2 + 8154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144810216.

It is not an unprimeable number, because it can be changed into a prime (144810217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235926 + ... + 236538.

Almost surely, 2^144810216 is an apocalyptic number.

144810216 is the 6948-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144810216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209048580).

144810216 is an abundant number, since it is smaller than the sum of its proper divisors (273286944).

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

144810216 is a wasteful number, since it uses less digits than its factorization.

144810216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 144810216 is about 12033.7116468694. The cubic root of 144810216 is about 525.1294809886.

Adding to 144810216 its reverse (612018441), we get a palindrome (756828657).

Subtracting 144810216 from its reverse (612018441), we obtain a square (467208225 = 21615²).

It can be divided in two parts, 1448 and 10216, that added together give a square (11664 = 108²).

The spelling of 144810216 in words is "one hundred forty-four million, eight hundred ten thousand, two hundred sixteen".