144820224 has 168 divisors, whose sum is σ = 438631830. Its totient is φ = 47775744.

The previous prime is 144820219. The next prime is 144820253. The reversal of 144820224 is 422028441.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 18662400 = 11232^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 1492944 + ... + 1493040.

Almost surely, 2^144820224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219315915).

144820224 is an abundant number, since it is smaller than the sum of its proper divisors (293811606).

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

144820224 is an frugal number, since it uses more digits than its factorization.

144820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 144820224 is about 12034.1274714871. The cubic root of 144820224 is about 525.1415781433.

Adding to 144820224 its reverse (422028441), we get a palindrome (566848665).

The spelling of 144820224 in words is "one hundred forty-four million, eight hundred twenty thousand, two hundred twenty-four".