144972085504 has 81 divisors (see below), whose sum is σ = 295599198643. Its totient is φ = 70959988736.

The previous prime is 144972085477. The next prime is 144972085553. The reversal of 144972085504 is 405580279441.

The square root of 144972085504 is 380752.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16200198400 + 128771887104 = 127280^2 + 358848^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 322877472 + ... + 322877920.

Almost surely, 2^144972085504 is an apocalyptic number.

144972085504 is the 380752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144972085504

144972085504 is an abundant number, since it is smaller than the sum of its proper divisors (150627113139).

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

144972085504 is an frugal number, since it uses more digits than its factorization.

144972085504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 144972085504 by its sum of digits (49), we get a square (7103632189696 = 2665264²).

The spelling of 144972085504 in words is "one hundred forty-four billion, nine hundred seventy-two million, eighty-five thousand, five hundred four".