144136368 has 80 divisors (see below), whose sum is σ = 417656800. Its totient is φ = 47589120.

The previous prime is 144136339. The next prime is 144136373. The reversal of 144136368 is 863631441.

It is a happy number.

144136368 is a `hidden beast` number, since 1 + 4 + 4 + 13 + 636 + 8 = 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45558 + ... + 48618.

It is an arithmetic number, because the mean of its divisors is an integer number (5220710).

Almost surely, 2^144136368 is an apocalyptic number.

144136368 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 144136368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208828400).

144136368 is an abundant number, since it is smaller than the sum of its proper divisors (273520432).

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

144136368 is a wasteful number, since it uses less digits than its factorization.

144136368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3175 counting only the distinct ones).

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

The square root of 144136368 is about 12005.6806554231. The cubic root of 144136368 is about 524.3136827803.

The spelling of 144136368 in words is "one hundred forty-four million, one hundred thirty-six thousand, three hundred sixty-eight".