144005664 has 192 divisors, whose sum is σ = 438939648. Its totient is φ = 40934400.

The previous prime is 144005651. The next prime is 144005707. The reversal of 144005664 is 466500441.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734967 + ... + 1735049.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2^144005664 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 144005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219469824).

144005664 is an abundant number, since it is smaller than the sum of its proper divisors (294933984).

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

144005664 is a wasteful number, since it uses less digits than its factorization.

144005664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144005664 is about 12000.2359976794. The cubic root of 144005664 is about 524.1551509180.

The spelling of 144005664 in words is "one hundred forty-four million, five thousand, six hundred sixty-four".