144482688 has 384 divisors, whose sum is σ = 534643200. Its totient is φ = 36495360.

The previous prime is 144482687. The next prime is 144482719. The reversal of 144482688 is 886284441.

144482688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 (144482683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3523948 + ... + 3523988.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^144482688 is an apocalyptic number.

144482688 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 144482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

144482688 is an abundant number, since it is smaller than the sum of its proper divisors (390160512).

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

144482688 is a wasteful number, since it uses less digits than its factorization.

144482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 144482688 is about 12020.0951743320. The cubic root of 144482688 is about 524.7332740368.

The spelling of 144482688 in words is "one hundred forty-four million, four hundred eighty-two thousand, six hundred eighty-eight".