142306245225 has 135 divisors (see below), whose sum is σ = 269482414069. Its totient is φ = 74239848000.

The previous prime is 142306245181. The next prime is 142306245259. The reversal of 142306245225 is 522542603241.

The square root of 142306245225 is 377235.

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

142306245225 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 0 + 624 + 5 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26276085801 + 116030159424 = 162099^2 + 340632^2 .

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

It is not a de Polignac number, because 142306245225 - 2⁷ = 142306245097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142306245225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1408972675 + ... + 1408972775.

Almost surely, 2^142306245225 is an apocalyptic number.

142306245225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142306245225 is the 377235-th square number.

142306245225 is the 188618-th centered octagonal number.

It is an amenable number.

142306245225 is a deficient number, since it is larger than the sum of its proper divisors (127176168844).

142306245225 is an frugal number, since it uses more digits than its factorization.

142306245225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Multiplying 142306245225 by its sum of digits (36), we get a square (5123024828100 = 2263410²).

Adding to 142306245225 its reverse (522542603241), we get a palindrome (664848848466).

The spelling of 142306245225 in words is "one hundred forty-two billion, three hundred six million, two hundred forty-five thousand, two hundred twenty-five".