144572064 has 288 divisors, whose sum is σ = 501742080. Its totient is φ = 35582976.

The previous prime is 144572033. The next prime is 144572069. The reversal of 144572064 is 460275441.

It is not an unprimeable number, because it can be changed into a prime (144572069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2157759 + ... + 2157825.

It is an arithmetic number, because the mean of its divisors is an integer number (1742160).

Almost surely, 2^144572064 is an apocalyptic number.

144572064 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 144572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250871040).

144572064 is an abundant number, since it is smaller than the sum of its proper divisors (357170016).

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

144572064 is a wasteful number, since it uses less digits than its factorization.

144572064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 144572064 is about 12023.8123737856. The cubic root of 144572064 is about 524.8414505357.

The spelling of 144572064 in words is "one hundred forty-four million, five hundred seventy-two thousand, sixty-four".