144544000 has 72 divisors (see below), whose sum is σ = 360156888. Its totient is φ = 57804800.

The previous prime is 144543989. The next prime is 144544003. The reversal of 144544000 is 445441.

It can be written as a sum of positive squares in 4 ways, for example, as 42614784 + 101929216 = 6528^2 + 10096^2 .

It is not an unprimeable number, because it can be changed into a prime (144544003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29742 + ... + 34258.

It is an arithmetic number, because the mean of its divisors is an integer number (5002179).

Almost surely, 2^144544000 is an apocalyptic number.

144544000 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 144544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180078444).

144544000 is an abundant number, since it is smaller than the sum of its proper divisors (215612888).

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

144544000 is an frugal number, since it uses more digits than its factorization.

144544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 144544000 is about 12022.6452996003. The cubic root of 144544000 is about 524.8074879955.

Adding to 144544000 its reverse (445441), we get a palindrome (144989441).

The spelling of 144544000 in words is "one hundred forty-four million, five hundred forty-four thousand".