144288520 has 64 divisors (see below), whose sum is σ = 348986880. Its totient is φ = 53492736.

The previous prime is 144288517. The next prime is 144288541. The reversal of 144288520 is 25882441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43977 + ... + 47143.

It is an arithmetic number, because the mean of its divisors is an integer number (5452920).

Almost surely, 2^144288520 is an apocalyptic number.

144288520 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 144288520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440).

144288520 is an abundant number, since it is smaller than the sum of its proper divisors (204698360).

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

144288520 is a wasteful number, since it uses less digits than its factorization.

144288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 144288520 is about 12012.0156510055. The cubic root of 144288520 is about 524.4981084100.

The spelling of 144288520 in words is "one hundred forty-four million, two hundred eighty-eight thousand, five hundred twenty".