144242688 has 96 divisors (see below), whose sum is σ = 407468880. Its totient is φ = 45219840.

The previous prime is 144242653. The next prime is 144242689. The reversal of 144242688 is 886242441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144242689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103758 + ... + 105138.

Almost surely, 2^144242688 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 144242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203734440).

144242688 is an abundant number, since it is smaller than the sum of its proper divisors (263226192).

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

144242688 is a wasteful number, since it uses less digits than its factorization.

144242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1403 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 144242688 is about 12010.1077430638. The cubic root of 144242688 is about 524.4425684336.

The spelling of 144242688 in words is "one hundred forty-four million, two hundred forty-two thousand, six hundred eighty-eight".