144185664 has 112 divisors (see below), whose sum is σ = 442423296. Its totient is φ = 40588800.

The previous prime is 144185663. The next prime is 144185669. The reversal of 144185664 is 466581441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144185663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94669 + ... + 96179.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 2^144185664 is an apocalyptic number.

144185664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

144185664 is an abundant number, since it is smaller than the sum of its proper divisors (298237632).

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

144185664 is a wasteful number, since it uses less digits than its factorization.

144185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1594 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 144185664 is about 12007.7335080356. The cubic root of 144185664 is about 524.3734493787.

The spelling of 144185664 in words is "one hundred forty-four million, one hundred eighty-five thousand, six hundred sixty-four".