144355120 has 160 divisors (see below), whose sum is σ = 419973120. Its totient is φ = 44928000.

The previous prime is 144355117. The next prime is 144355139. The reversal of 144355120 is 21553441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574995 + ... + 575245.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^144355120 is an apocalyptic number.

144355120 is a gapful number since it is divisible by the number (10) 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 144355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

144355120 is an abundant number, since it is smaller than the sum of its proper divisors (275618000).

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

144355120 is a wasteful number, since it uses less digits than its factorization.

144355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 144355120 is about 12014.7875553420. The cubic root of 144355120 is about 524.5787944338.

The spelling of 144355120 in words is "one hundred forty-four million, three hundred fifty-five thousand, one hundred twenty".