144084096 has 160 divisors (see below), whose sum is σ = 462207900. Its totient is φ = 44292096.

The previous prime is 144084089. The next prime is 144084131. The reversal of 144084096 is 690480441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 6350400 = 11736^2 + 2520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 144084096.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134250 + ... + 135318.

Almost surely, 2^144084096 is an apocalyptic number.

144084096 is a gapful number since it is divisible by the number (16) 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 144084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231103950).

144084096 is an abundant number, since it is smaller than the sum of its proper divisors (318123804).

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

144084096 is a wasteful number, since it uses less digits than its factorization.

144084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144084096 is about 12003.5034885653. The cubic root of 144084096 is about 524.2502931838.

The spelling of 144084096 in words is "one hundred forty-four million, eighty-four thousand, ninety-six".