144360225 has 63 divisors (see below), whose sum is σ = 271436713. Its totient is φ = 76127040.

The previous prime is 144360217. The next prime is 144360239. The reversal of 144360225 is 522063441.

The square root of 144360225 is 12015.

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

144360225 is a `hidden beast` number, since 1 + 4 + 436 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30041361 + 114318864 = 5481^2 + 10692^2 .

It is not a de Polignac number, because 144360225 - 2³ = 144360217 is a prime.

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

It is a Duffinian number.

It is a Curzon 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 62 ways as a sum of consecutive naturals, for example, 1621981 + ... + 1622069.

Almost surely, 2^144360225 is an apocalyptic number.

144360225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144360225 is the 12015-th square number.

144360225 is the 6008-th centered octagonal number.

It is an amenable number.

144360225 is a deficient number, since it is larger than the sum of its proper divisors (127076488).

144360225 is an frugal number, since it uses more digits than its factorization.

144360225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 144360225 is about 524.5849781267.

The spelling of 144360225 in words is "one hundred forty-four million, three hundred sixty thousand, two hundred twenty-five".