144287568 has 240 divisors, whose sum is σ = 463095360. Its totient is φ = 43296768.

The previous prime is 144287567. The next prime is 144287587. The reversal of 144287568 is 865782441.

144287568 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 87 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144287567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445523 + ... + 2445581.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^144287568 is an apocalyptic number.

144287568 is a gapful number since it is divisible by the number (18) 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 144287568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

144287568 is an abundant number, since it is smaller than the sum of its proper divisors (318807792).

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

144287568 is a wasteful number, since it uses less digits than its factorization.

144287568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 144287568 is about 12011.9760239521. The cubic root of 144287568 is about 524.4969548803.

The spelling of 144287568 in words is "one hundred forty-four million, two hundred eighty-seven thousand, five hundred sixty-eight".