144043020900 has 135 divisors (see below), whose sum is σ = 467041319899. Its totient is φ = 38402363520.

The previous prime is 144043020871. The next prime is 144043020917. The reversal of 144043020900 is 9020340441.

The square root of 144043020900 is 379530.

It is a perfect power (a square), and thus also a powerful number.

144043020900 is a `hidden beast` number, since 144 + 0 + 430 + 2 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12830999076 + 131212021824 = 113274^2 + 362232^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34155592 + ... + 34159808.

Almost surely, 2^144043020900 is an apocalyptic number.

144043020900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144043020900 is the 379530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144043020900

144043020900 is an abundant number, since it is smaller than the sum of its proper divisors (322998298999).

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

144043020900 is an frugal number, since it uses more digits than its factorization.

144043020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 144043020900 in words is "one hundred forty-four billion, forty-three million, twenty thousand, nine hundred".