144678144 has 144 divisors (see below), whose sum is σ = 425577152. Its totient is φ = 43352064.

The previous prime is 144678139. The next prime is 144678167. The reversal of 144678144 is 441876441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 429144 + ... + 429480.

Almost surely, 2^144678144 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 144678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212788576).

144678144 is an abundant number, since it is smaller than the sum of its proper divisors (280899008).

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

144678144 is a wasteful number, since it uses less digits than its factorization.

144678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 144678144 is about 12028.2228113716. Note that the first 3 decimals coincide. The cubic root of 144678144 is about 524.9697869234.

The spelling of 144678144 in words is "one hundred forty-four million, six hundred seventy-eight thousand, one hundred forty-four".