144216576 has 240 divisors, whose sum is σ = 505574784. Its totient is φ = 38633472.

The previous prime is 144216529. The next prime is 144216581. The reversal of 144216576 is 675612441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144216576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548221 + ... + 548483.

Almost surely, 2^144216576 is an apocalyptic number.

144216576 is a gapful number since it is divisible by the number (16) 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 144216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787392).

144216576 is an abundant number, since it is smaller than the sum of its proper divisors (361358208).

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

144216576 is a wasteful number, since it uses less digits than its factorization.

144216576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 144216576 is about 12009.0206095252. The cubic root of 144216576 is about 524.4109202187.

The spelling of 144216576 in words is "one hundred forty-four million, two hundred sixteen thousand, five hundred seventy-six".