144289152 has 192 divisors, whose sum is σ = 491680800. Its totient is φ = 39739392.

The previous prime is 144289151. The next prime is 144289163. The reversal of 144289152 is 251982441.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144289151) 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 23 ways as a sum of consecutive naturals, for example, 233548 + ... + 234164.

Almost surely, 2^144289152 is an apocalyptic number.

144289152 is a gapful number since it is divisible by the number (12) 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 144289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245840400).

144289152 is an abundant number, since it is smaller than the sum of its proper divisors (347391648).

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

144289152 is a wasteful number, since it uses less digits than its factorization.

144289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 144289152 is about 12012.0419579687. The cubic root of 144289152 is about 524.4988741959.

It can be divided in two parts, 144289 and 152, that added together give a palindrome (144441).

The spelling of 144289152 in words is "one hundred forty-four million, two hundred eighty-nine thousand, one hundred fifty-two".