144918048 has 96 divisors (see below), whose sum is σ = 426323520. Its totient is φ = 42716160.

The previous prime is 144918043. The next prime is 144918071. The reversal of 144918048 is 840819441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144918048² = 42002481272260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144917997 and 144918015.

It is not an unprimeable number, because it can be changed into a prime (144918043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37218 + ... + 40926.

It is an arithmetic number, because the mean of its divisors is an integer number (4440870).

Almost surely, 2^144918048 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 144918048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213161760).

144918048 is an abundant number, since it is smaller than the sum of its proper divisors (281405472).

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

144918048 is a wasteful number, since it uses less digits than its factorization.

144918048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 144918048 is about 12038.1912262599. The cubic root of 144918048 is about 525.2597934169.

The spelling of 144918048 in words is "one hundred forty-four million, nine hundred eighteen thousand, forty-eight".