144956144 has 40 divisors (see below), whose sum is σ = 298329120. Its totient is φ = 67995648.

The previous prime is 144956137. The next prime is 144956153. The reversal of 144956144 is 441659441.

It is a happy number.

144956144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×144956144³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144956098 and 144956107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110597 + ... + 111899.

It is an arithmetic number, because the mean of its divisors is an integer number (7458228).

Almost surely, 2^144956144 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 144956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149164560).

144956144 is an abundant number, since it is smaller than the sum of its proper divisors (153372976).

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

144956144 is a wasteful number, since it uses less digits than its factorization.

144956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1731 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 144956144 is about 12039.7734197949. The cubic root of 144956144 is about 525.3058160809.

The spelling of 144956144 in words is "one hundred forty-four million, nine hundred fifty-six thousand, one hundred forty-four".