144294816 has 96 divisors (see below), whose sum is σ = 401587200. Its totient is φ = 45239040.

The previous prime is 144294781. The next prime is 144294823. The reversal of 144294816 is 618492441.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 435771 + ... + 436101.

It is an arithmetic number, because the mean of its divisors is an integer number (4183200).

Almost surely, 2^144294816 is an apocalyptic number.

144294816 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 144294816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200793600).

144294816 is an abundant number, since it is smaller than the sum of its proper divisors (257292384).

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

144294816 is a wasteful number, since it uses less digits than its factorization.

144294816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 144294816 is about 12012.2777190673. The cubic root of 144294816 is about 524.5057370882.

The spelling of 144294816 in words is "one hundred forty-four million, two hundred ninety-four thousand, eight hundred sixteen".