144322400 has 72 divisors (see below), whose sum is σ = 356461560. Its totient is φ = 57052160.

The previous prime is 144322393. The next prime is 144322427. The reversal of 144322400 is 4223441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70187 + ... + 72213.

It is an arithmetic number, because the mean of its divisors is an integer number (4950855).

Almost surely, 2^144322400 is an apocalyptic number.

144322400 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 144322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178230780).

144322400 is an abundant number, since it is smaller than the sum of its proper divisors (212139160).

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

144322400 is a wasteful number, since it uses less digits than its factorization.

144322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144322400 is about 12013.4258228034. The cubic root of 144322400 is about 524.5391571949.

Adding to 144322400 its reverse (4223441), we get a palindrome (148545841).

The spelling of 144322400 in words is "one hundred forty-four million, three hundred twenty-two thousand, four hundred".