144405200 has 30 divisors (see below), whose sum is σ = 346934454. Its totient is φ = 57761920.

The previous prime is 144405199. The next prime is 144405203. The reversal of 144405200 is 2504441.

It can be written as a sum of positive squares in 3 ways, for example, as 1459264 + 142945936 = 1208^2 + 11956^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144405203) 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 5 ways as a sum of consecutive naturals, for example, 180107 + ... + 180906.

Almost surely, 2^144405200 is an apocalyptic number.

144405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144405200 is an abundant number, since it is smaller than the sum of its proper divisors (202529254).

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

144405200 is a wasteful number, since it uses less digits than its factorization.

144405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361031 (or 361020 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 144405200 is about 12016.8714730582. The cubic root of 144405200 is about 524.6394501017.

Adding to 144405200 its reverse (2504441), we get a palindrome (146909641).

The spelling of 144405200 in words is "one hundred forty-four million, four hundred five thousand, two hundred".