144813384 has 96 divisors (see below), whose sum is σ = 403972920. Its totient is φ = 46844928.

The previous prime is 144813377. The next prime is 144813391. The reversal of 144813384 is 483318441.

144813384 is a `hidden beast` number, since 1 + 448 + 133 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (144813377) and next prime (144813391).

It can be written as a sum of positive squares in 4 ways, for example, as 121484484 + 23328900 = 11022^2 + 4830^2 .

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 522654 + ... + 522930.

Almost surely, 2^144813384 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 144813384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201986460).

144813384 is an abundant number, since it is smaller than the sum of its proper divisors (259159536).

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

144813384 is a wasteful number, since it uses less digits than its factorization.

144813384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 472 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 144813384 is about 12033.8432763602. The cubic root of 144813384 is about 525.1333103641.

The spelling of 144813384 in words is "one hundred forty-four million, eight hundred thirteen thousand, three hundred eighty-four".