144324864 has 108 divisors (see below), whose sum is σ = 427623196. Its totient is φ = 46780416.

The previous prime is 144324853. The next prime is 144324889. The reversal of 144324864 is 468423441.

144324864 is a `hidden beast` number, since 144 + 32 + 486 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 48441600 = 9792^2 + 6960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84402 + ... + 86094.

Almost surely, 2^144324864 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 144324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213811598).

144324864 is an abundant number, since it is smaller than the sum of its proper divisors (283298332).

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

144324864 is a wasteful number, since it uses less digits than its factorization.

144324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1735 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 144324864 is about 12013.5283742954. The cubic root of 144324864 is about 524.5421423105.

The spelling of 144324864 in words is "one hundred forty-four million, three hundred twenty-four thousand, eight hundred sixty-four".