144130311332200 has 192 divisors, whose sum is σ = 348498944640000. Its totient is φ = 55393599824640.

The previous prime is 144130311332179. The next prime is 144130311332201. The reversal of 144130311332200 is 2233113031441.

It is a super-3 number, since 3×144130311332200³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (144130311332201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 414113851 + ... + 414461749.

It is an arithmetic number, because the mean of its divisors is an integer number (1815098670000).

Almost surely, 2^{144130311332200} is an apocalyptic number.

144130311332200 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 144130311332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174249472320000).

144130311332200 is an abundant number, since it is smaller than the sum of its proper divisors (204368633307800).

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

144130311332200 is a wasteful number, since it uses less digits than its factorization.

144130311332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348744 (or 348735 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 144130311332200 its reverse (2233113031441), we get a palindrome (146363424363641).

The spelling of 144130311332200 in words is "one hundred forty-four trillion, one hundred thirty billion, three hundred eleven million, three hundred thirty-two thousand, two hundred".