144282105000 has 1440 divisors, whose sum is σ = 606377772000. Its totient is φ = 30602880000.

The previous prime is 144282104899. The next prime is 144282105001. The reversal of 144282105000 is 501282441.

144282105000 is a `hidden beast` number, since 1 + 442 + 8 + 210 + 5 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (144282105001) 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 359 ways as a sum of consecutive naturals, for example, 4975244986 + ... + 4975245014.

It is an arithmetic number, because the mean of its divisors is an integer number (421095675).

Almost surely, 2^144282105000 is an apocalyptic number.

144282105000 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 144282105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303188886000).

144282105000 is an abundant number, since it is smaller than the sum of its proper divisors (462095667000).

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

144282105000 is a wasteful number, since it uses less digits than its factorization.

144282105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 144282105000 its reverse (501282441), we get a palindrome (144783387441).

The spelling of 144282105000 in words is "one hundred forty-four billion, two hundred eighty-two million, one hundred five thousand".