144321264 has 100 divisors (see below), whose sum is σ = 439767240. Its totient is φ = 45567360.

The previous prime is 144321241. The next prime is 144321269. The reversal of 144321264 is 462123441.

It is a happy number.

144321264 is a `hidden beast` number, since 1 + 443 + 212 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144321269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21694 + ... + 27554.

Almost surely, 2^144321264 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 144321264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219883620).

144321264 is an abundant number, since it is smaller than the sum of its proper divisors (295445976).

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

144321264 is a wasteful number, since it uses less digits than its factorization.

144321264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5885 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 144321264 is about 12013.3785422753. The cubic root of 144321264 is about 524.5377809289.

The spelling of 144321264 in words is "one hundred forty-four million, three hundred twenty-one thousand, two hundred sixty-four".