144806144 has 72 divisors (see below), whose sum is σ = 347807040. Its totient is φ = 58779648.

The previous prime is 144806143. The next prime is 144806149. The reversal of 144806144 is 441608441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 144806144.

It is not an unprimeable number, because it can be changed into a prime (144806143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31922 + ... + 36174.

Almost surely, 2^144806144 is an apocalyptic number.

144806144 is a gapful number since it is divisible by the number (14) 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 144806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173903520).

144806144 is an abundant number, since it is smaller than the sum of its proper divisors (203000896).

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

144806144 is an equidigital number, since it uses as much as digits as its factorization.

144806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 144806144 is about 12033.5424543232. The cubic root of 144806144 is about 525.1245588053.

The spelling of 144806144 in words is "one hundred forty-four million, eight hundred six thousand, one hundred forty-four".