144963216 has 80 divisors (see below), whose sum is σ = 440596800. Its totient is φ = 45476352.

The previous prime is 144963197. The next prime is 144963271. The reversal of 144963216 is 612369441.

144963216 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 632 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2526 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (5507460).

Almost surely, 2^144963216 is an apocalyptic number.

144963216 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 144963216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220298400).

144963216 is an abundant number, since it is smaller than the sum of its proper divisors (295633584).

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

144963216 is a wasteful number, since it uses less digits than its factorization.

144963216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19773 (or 19761 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 144963216 is about 12040.0671094475. The cubic root of 144963216 is about 525.3143586700.

The spelling of 144963216 in words is "one hundred forty-four million, nine hundred sixty-three thousand, two hundred sixteen".