144928224 has 192 divisors, whose sum is σ = 499322880. Its totient is φ = 40020480.

The previous prime is 144928187. The next prime is 144928229. The reversal of 144928224 is 422829441.

It is a super-2 number, since 2×144928224² = 42008380223588352, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (144928229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187102 + ... + 187874.

It is an arithmetic number, because the mean of its divisors is an integer number (2600640).

Almost surely, 2^144928224 is an apocalyptic number.

144928224 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 144928224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249661440).

144928224 is an abundant number, since it is smaller than the sum of its proper divisors (354394656).

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

144928224 is a wasteful number, since it uses less digits than its factorization.

144928224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 816 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 144928224 is about 12038.6138736983. The cubic root of 144928224 is about 525.2720875344.

The spelling of 144928224 in words is "one hundred forty-four million, nine hundred twenty-eight thousand, two hundred twenty-four".