144066384 has 320 divisors, whose sum is σ = 531394560. Its totient is φ = 36288000.

The previous prime is 144066367. The next prime is 144066389. The reversal of 144066384 is 483660441.

144066384 is a `hidden beast` number, since 14 + 4 + 0 + 6 + 638 + 4 = 666.

It is a super-3 number, since 3×144066384³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144066389) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2029069 + ... + 2029139.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2^144066384 is an apocalyptic number.

144066384 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 144066384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265697280).

144066384 is an abundant number, since it is smaller than the sum of its proper divisors (387328176).

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

144066384 is a wasteful number, since it uses less digits than its factorization.

144066384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 144066384 is about 12002.7656812920. The cubic root of 144066384 is about 524.2288105869.

The spelling of 144066384 in words is "one hundred forty-four million, sixty-six thousand, three hundred eighty-four".