144756168 has 64 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 46341120.

The previous prime is 144756133. The next prime is 144756169. The reversal of 144756168 is 861657441.

It is not an unprimeable number, because it can be changed into a prime (144756169) 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 15 ways as a sum of consecutive naturals, for example, 167305 + ... + 168167.

It is an arithmetic number, because the mean of its divisors is an integer number (5880600).

Almost surely, 2^144756168 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 144756168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

144756168 is an abundant number, since it is smaller than the sum of its proper divisors (231602232).

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

144756168 is a wasteful number, since it uses less digits than its factorization.

144756168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 144756168 is about 12031.4657461176. The cubic root of 144756168 is about 525.0641409162.

The spelling of 144756168 in words is "one hundred forty-four million, seven hundred fifty-six thousand, one hundred sixty-eight".