144530568000 has 2688 divisors, whose sum is σ = 710772142080. Its totient is φ = 28217548800.

The previous prime is 144530567927. The next prime is 144530568037. The reversal of 144530568000 is 865035441.

It is a happy number.

144530568000 is a `hidden beast` number, since 1 + 44 + 53 + 0 + 568 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×144530568000³ (a number of 34 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3361175979 + ... + 3361176021.

It is an arithmetic number, because the mean of its divisors is an integer number (264424160).

Almost surely, 2^144530568000 is an apocalyptic number.

144530568000 is a gapful number since it is divisible by the number (10) 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 144530568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355386071040).

144530568000 is an abundant number, since it is smaller than the sum of its proper divisors (566241574080).

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

144530568000 is a wasteful number, since it uses less digits than its factorization.

144530568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 144530568000 in words is "one hundred forty-four billion, five hundred thirty million, five hundred sixty-eight thousand".