144434500200 has 144 divisors (see below), whose sum is σ = 510588748800. Its totient is φ = 36488707200.

The previous prime is 144434500193. The next prime is 144434500253. The reversal of 144434500200 is 2005434441.

It is a happy number.

144434500200 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 450 + 0 + 200 = 666.

It is a super-2 number, since 2×144434500200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2077416 + ... + 2145815.

It is an arithmetic number, because the mean of its divisors is an integer number (3545755200).

Almost surely, 2^144434500200 is an apocalyptic number.

144434500200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144434500200 is an abundant number, since it is smaller than the sum of its proper divisors (366154248600).

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

144434500200 is a wasteful number, since it uses less digits than its factorization.

144434500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223272 (or 4223260 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 144434500200 its reverse (2005434441), we get a palindrome (146439934641).

The spelling of 144434500200 in words is "one hundred forty-four billion, four hundred thirty-four million, five hundred thousand, two hundred".