126305125 has 16 divisors (see below), whose sum is σ = 157950000. Its totient is φ = 100838400.

The previous prime is 126305107. The next prime is 126305131. The reversal of 126305125 is 521503621.

It can be written as a sum of positive squares in 8 ways, for example, as 22448644 + 103856481 = 4738^2 + 10191^2 .

It is not a de Polignac number, because 126305125 - 2⁹ = 126304613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 126305125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100501 + ... + 101749.

It is an arithmetic number, because the mean of its divisors is an integer number (9871875).

Almost surely, 2^126305125 is an apocalyptic number.

It is an amenable number.

126305125 is a deficient number, since it is larger than the sum of its proper divisors (31644875).

126305125 is an equidigital number, since it uses as much as digits as its factorization.

126305125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 126305125 is about 11238.5552897158. Note that the first 3 decimals coincide. The cubic root of 126305125 is about 501.7341451942.

Adding to 126305125 its reverse (521503621), we get a palindrome (647808746).

The spelling of 126305125 in words is "one hundred twenty-six million, three hundred five thousand, one hundred twenty-five".