144142140413300 has 144 divisors (see below), whose sum is σ = 321197103038448. Its totient is φ = 56113847193600.

The previous prime is 144142140413279. The next prime is 144142140413387. The reversal of 144142140413300 is 3314041241441.

It can be written as a sum of positive squares in 24 ways, for example, as 133495193296144 + 10646947117156 = 11554012^2 + 3262966^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3738397622 + ... + 3738436178.

It is an arithmetic number, because the mean of its divisors is an integer number (2230535437767).

Almost surely, 2^{144142140413300} is an apocalyptic number.

144142140413300 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 144142140413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160598551519224).

144142140413300 is an abundant number, since it is smaller than the sum of its proper divisors (177054962625148).

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

144142140413300 is a wasteful number, since it uses less digits than its factorization.

144142140413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40806 (or 40799 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144142140413300 its reverse (3314041241441), we get a palindrome (147456181654741).

The spelling of 144142140413300 in words is "one hundred forty-four trillion, one hundred forty-two billion, one hundred forty million, four hundred thirteen thousand, three hundred".