144360216 has 192 divisors, whose sum is σ = 525208320. Its totient is φ = 34594560.

The previous prime is 144360193. The next prime is 144360217. The reversal of 144360216 is 612063441.

144360216 is a `hidden beast` number, since 1 + 4 + 43 + 602 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144360216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144360217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71071 + ... + 73073.

It is an arithmetic number, because the mean of its divisors is an integer number (2735460).

Almost surely, 2^144360216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144360216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262604160).

144360216 is an abundant number, since it is smaller than the sum of its proper divisors (380848104).

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

144360216 is a wasteful number, since it uses less digits than its factorization.

144360216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 144360216 is about 12014.9996254682. Note that the first 3 decimals coincide. The cubic root of 144360216 is about 524.5849672251.

The spelling of 144360216 in words is "one hundred forty-four million, three hundred sixty thousand, two hundred sixteen".