144344200 has 288 divisors, whose sum is σ = 463095360. Its totient is φ = 41126400.

The previous prime is 144344173. The next prime is 144344203. The reversal of 144344200 is 2443441.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (144344203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1401349 + ... + 1401451.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^144344200 is an apocalyptic number.

144344200 is a gapful number since it is divisible by the number (10) 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 144344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

144344200 is an abundant number, since it is smaller than the sum of its proper divisors (318751160).

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

144344200 is a wasteful number, since it uses less digits than its factorization.

144344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144344200 is about 12014.3331067521. Note that the first 3 decimals coincide. The cubic root of 144344200 is about 524.5655665347.

Adding to 144344200 its reverse (2443441), we get a palindrome (146787641).

The spelling of 144344200 in words is "one hundred forty-four million, three hundred forty-four thousand, two hundred".