144033664 has 32 divisors (see below), whose sum is σ = 288356040. Its totient is φ = 71662080.

The previous prime is 144033649. The next prime is 144033667. The reversal of 144033664 is 466330441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144033667) 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 3 ways as a sum of consecutive naturals, for example, 24342 + ... + 29674.

Almost surely, 2^144033664 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 144033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144178020).

144033664 is an abundant number, since it is smaller than the sum of its proper divisors (144322376).

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

144033664 is an equidigital number, since it uses as much as digits as its factorization.

144033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 144033664 is about 12001.4025846982. The cubic root of 144033664 is about 524.1891203993.

The spelling of 144033664 in words is "one hundred forty-four million, thirty-three thousand, six hundred sixty-four".