144288120 has 64 divisors (see below), whose sum is σ = 442091520. Its totient is φ = 37656704.

The previous prime is 144288107. The next prime is 144288169. The reversal of 144288120 is 21882441.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 7152 + ... + 18431.

It is an arithmetic number, because the mean of its divisors is an integer number (6907680).

Almost surely, 2^144288120 is an apocalyptic number.

144288120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144288120 is an abundant number, since it is smaller than the sum of its proper divisors (297803400).

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

144288120 is a wasteful number, since it uses less digits than its factorization.

144288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25644 (or 25640 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 144288120 is about 12011.9990009990. Note that the first 3 decimals coincide. The cubic root of 144288120 is about 524.4976237343.

The spelling of 144288120 in words is "one hundred forty-four million, two hundred eighty-eight thousand, one hundred twenty".