144288144 has 405 divisors, whose sum is σ = 559091169. Its totient is φ = 34594560.

The previous prime is 144288107. The next prime is 144288169. The reversal of 144288144 is 441882441.

The square root of 144288144 is 12012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21344400 + 122943744 = 4620^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144288099 and 144288108.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 11099082 + ... + 11099094.

Almost surely, 2^144288144 is an apocalyptic number.

144288144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144288144 is the 12012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144288144

144288144 is an abundant number, since it is smaller than the sum of its proper divisors (414803025).

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

144288144 is a wasteful number, since it uses less digits than its factorization.

144288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The cubic root of 144288144 is about 524.4976528148.

Multiplying 144288144 by its sum of digits (36), we get a square (5194373184 = 72072²).

144288144 divided by its sum of digits (36) gives a palindrome (4008004).

The spelling of 144288144 in words is "one hundred forty-four million, two hundred eighty-eight thousand, one hundred forty-four".