144088568100 has 81 divisors (see below), whose sum is σ = 451673308723. Its totient is φ = 38420581440.

The previous prime is 144088568083. The next prime is 144088568149. The reversal of 144088568100 is 1865880441.

The square root of 144088568100 is 379590.

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

144088568100 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 88 + 568 + 1 + 0 + 0 = 666.

144088568100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83383492644 + 60705075456 = 288762^2 + 246384^2 .

It is a super-2 number, since 2×144088568100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 26 ways as a sum of consecutive naturals, for example, 11381374 + ... + 11394026.

Almost surely, 2^144088568100 is an apocalyptic number.

144088568100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144088568100 is the 379590-th square number.

It is an amenable number.

144088568100 is an abundant number, since it is smaller than the sum of its proper divisors (307584740623).

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

144088568100 is an equidigital number, since it uses as much as digits as its factorization.

144088568100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25326 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 144088568100 in words is "one hundred forty-four billion, eighty-eight million, five hundred sixty-eight thousand, one hundred".