144316368 has 180 divisors, whose sum is σ = 476602308. Its totient is φ = 40642560.

The previous prime is 144316339. The next prime is 144316373. The reversal of 144316368 is 863613441.

It is a happy number.

144316368 is a `hidden beast` number, since 14 + 4 + 3 + 1 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 142277184 = 1428^2 + 11928^2 .

It is a super-2 number, since 2×144316368² = 41654428145422848, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 797238 + ... + 797418.

Almost surely, 2^144316368 is an apocalyptic number.

144316368 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 144316368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238301154).

144316368 is an abundant number, since it is smaller than the sum of its proper divisors (332285940).

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

144316368 is a wasteful number, since it uses less digits than its factorization.

144316368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 144316368 is about 12013.1747677290. The cubic root of 144316368 is about 524.5318493335.

The spelling of 144316368 in words is "one hundred forty-four million, three hundred sixteen thousand, three hundred sixty-eight".