144808064 has 48 divisors (see below), whose sum is σ = 296132010. Its totient is φ = 70533120.

The previous prime is 144808061. The next prime is 144808109. The reversal of 144808064 is 460808441.

It can be written as a sum of positive squares in 3 ways, for example, as 36481600 + 108326464 = 6040^2 + 10408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144808061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214832 + ... + 215504.

Almost surely, 2^144808064 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 144808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148066005).

144808064 is an abundant number, since it is smaller than the sum of its proper divisors (151323946).

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

144808064 is an frugal number, since it uses more digits than its factorization.

144808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 144808064 is about 12033.6222310658. The cubic root of 144808064 is about 525.1268796891.

The spelling of 144808064 in words is "one hundred forty-four million, eight hundred eight thousand, sixty-four".