144311314130200 has 144 divisors (see below), whose sum is σ = 390336533269200. Its totient is φ = 49473939513600.

The previous prime is 144311314130173. The next prime is 144311314130231. The reversal of 144311314130200 is 2031413113441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 115222941 + ... + 116468659.

It is an arithmetic number, because the mean of its divisors is an integer number (2710670369925).

Almost surely, 2^{144311314130200} is an apocalyptic number.

144311314130200 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 144311314130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195168266634600).

144311314130200 is an abundant number, since it is smaller than the sum of its proper divisors (246025219139000).

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

144311314130200 is a wasteful number, since it uses less digits than its factorization.

144311314130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257570 (or 1257554 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 144311314130200 its reverse (2031413113441), we get a palindrome (146342727243641).

The spelling of 144311314130200 in words is "one hundred forty-four trillion, three hundred eleven billion, three hundred fourteen million, one hundred thirty thousand, two hundred".