144106304 has 56 divisors (see below), whose sum is σ = 292729920. Its totient is φ = 70373376.

The previous prime is 144106289. The next prime is 144106309. The reversal of 144106304 is 403601441.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 144106304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144106309) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 862829 + ... + 862995.

It is an arithmetic number, because the mean of its divisors is an integer number (5227320).

Almost surely, 2^144106304 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 144106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146364960).

144106304 is an abundant number, since it is smaller than the sum of its proper divisors (148623616).

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

144106304 is a wasteful number, since it uses less digits than its factorization.

144106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 144106304 is about 12004.4285161769. The cubic root of 144106304 is about 524.2772264187.

Adding to 144106304 its reverse (403601441), we get a palindrome (547707745).

The spelling of 144106304 in words is "one hundred forty-four million, one hundred six thousand, three hundred four".