144012168 has 120 divisors (see below), whose sum is σ = 429047850. Its totient is φ = 45121536.

The previous prime is 144012133. The next prime is 144012233. The reversal of 144012168 is 861210441.

It is a happy number.

144012168 is a `hidden beast` number, since 1 + 440 + 1 + 216 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 140707044 + 3305124 = 11862^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 186888 + ... + 187656.

Almost surely, 2^144012168 is an apocalyptic number.

144012168 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 144012168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214523925).

144012168 is an abundant number, since it is smaller than the sum of its proper divisors (285035682).

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

144012168 is a wasteful number, since it uses less digits than its factorization.

144012168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 144012168 is about 12000.5069892901. The cubic root of 144012168 is about 524.1630419358.

The spelling of 144012168 in words is "one hundred forty-four million, twelve thousand, one hundred sixty-eight".