144359808 has 128 divisors (see below), whose sum is σ = 403952640. Its totient is φ = 45619200.

The previous prime is 144359797. The next prime is 144359819. The reversal of 144359808 is 808953441.

It is an interprime number because it is at equal distance from previous prime (144359797) and next prime (144359819).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 144359808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797478 + ... + 797658.

It is an arithmetic number, because the mean of its divisors is an integer number (3155880).

Almost surely, 2^144359808 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 144359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201976320).

144359808 is an abundant number, since it is smaller than the sum of its proper divisors (259592832).

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

144359808 is a wasteful number, since it uses less digits than its factorization.

144359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 144359808 is about 12014.9826466791. The cubic root of 144359808 is about 524.5844730195.

The spelling of 144359808 in words is "one hundred forty-four million, three hundred fifty-nine thousand, eight hundred eight".