144215144200 has 96 divisors (see below), whose sum is σ = 344697312960. Its totient is φ = 56072390400.

The previous prime is 144215144179. The next prime is 144215144219. The reversal of 144215144200 is 2441512441.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 8064469 + ... + 8082331.

It is an arithmetic number, because the mean of its divisors is an integer number (3590597010).

Almost surely, 2^144215144200 is an apocalyptic number.

144215144200 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 144215144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172348656480).

144215144200 is an abundant number, since it is smaller than the sum of its proper divisors (200482168760).

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

144215144200 is a wasteful number, since it uses less digits than its factorization.

144215144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19007 (or 18998 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 144215144200 its reverse (2441512441), we get a palindrome (146656656641).

The spelling of 144215144200 in words is "one hundred forty-four billion, two hundred fifteen million, one hundred forty-four thousand, two hundred".