144225288 has 48 divisors (see below), whose sum is σ = 393447600. Its totient is φ = 47725920.

The previous prime is 144225287. The next prime is 144225329. The reversal of 144225288 is 882522441.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (144225287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2803 + ... + 17213.

It is an arithmetic number, because the mean of its divisors is an integer number (8196825).

Almost surely, 2^144225288 is an apocalyptic number.

144225288 is a gapful number since it is divisible by the number (18) 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 144225288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196723800).

144225288 is an abundant number, since it is smaller than the sum of its proper divisors (249222312).

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

144225288 is a wasteful number, since it uses less digits than its factorization.

144225288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562 (or 14555 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 144225288 is about 12009.3833313788. The cubic root of 144225288 is about 524.4214797444.

The spelling of 144225288 in words is "one hundred forty-four million, two hundred twenty-five thousand, two hundred eighty-eight".