144039168 has 288 divisors, whose sum is σ = 526534400. Its totient is φ = 37822464.

The previous prime is 144039163. The next prime is 144039173. The reversal of 144039168 is 861930441.

It is an interprime number because it is at equal distance from previous prime (144039163) and next prime (144039173).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144039163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 628878 + ... + 629106.

Almost surely, 2^144039168 is an apocalyptic number.

144039168 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 144039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263267200).

144039168 is an abundant number, since it is smaller than the sum of its proper divisors (382495232).

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

144039168 is a wasteful number, since it uses less digits than its factorization.

144039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144039168 is about 12001.6318890391. The cubic root of 144039168 is about 524.1957973110.

The spelling of 144039168 in words is "one hundred forty-four million, thirty-nine thousand, one hundred sixty-eight".