144716768 has 96 divisors (see below), whose sum is σ = 352396800. Its totient is φ = 57106944.

The previous prime is 144716753. The next prime is 144716777. The reversal of 144716768 is 867617441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157013 + ... + 157931.

It is an arithmetic number, because the mean of its divisors is an integer number (3670800).

Almost surely, 2^144716768 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 144716768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176198400).

144716768 is an abundant number, since it is smaller than the sum of its proper divisors (207680032).

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

144716768 is a wasteful number, since it uses less digits than its factorization.

144716768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 144716768 is about 12029.8282614508. The cubic root of 144716768 is about 525.0164989524.

The spelling of 144716768 in words is "one hundred forty-four million, seven hundred sixteen thousand, seven hundred sixty-eight".