144240331031200 has 36 divisors (see below), whose sum is σ = 352126708131870. Its totient is φ = 57696132412160.

The previous prime is 144240331031177. The next prime is 144240331031227. The reversal of 144240331031200 is 2130133042441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 127004515258384 + 17235815772816 = 11269628^2 + 4151604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90150206095 + ... + 90150207694.

Almost surely, 2^{144240331031200} is an apocalyptic number.

144240331031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240331031200 is an abundant number, since it is smaller than the sum of its proper divisors (207886377100670).

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

144240331031200 is a wasteful number, since it uses less digits than its factorization.

144240331031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180300413809 (or 180300413796 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144240331031200 its reverse (2130133042441), we get a palindrome (146370464073641).

The spelling of 144240331031200 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred thirty-one million, thirty-one thousand, two hundred".