126632125 has 32 divisors (see below), whose sum is σ = 165241440. Its totient is φ = 96768000.

The previous prime is 126632123. The next prime is 126632159. The reversal of 126632125 is 521236621.

It can be written as a sum of positive squares in 16 ways, for example, as 125126596 + 1505529 = 11186^2 + 1227^2 .

It is not a de Polignac number, because 126632125 - 2¹ = 126632123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126632093 and 126632102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126632123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 656029 + ... + 656221.

It is an arithmetic number, because the mean of its divisors is an integer number (5163795).

Almost surely, 2^126632125 is an apocalyptic number.

It is an amenable number.

126632125 is a deficient number, since it is larger than the sum of its proper divisors (38609315).

126632125 is a wasteful number, since it uses less digits than its factorization.

126632125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 126632125 is about 11253.0940189798. The cubic root of 126632125 is about 502.1667633761.

Adding to 126632125 its reverse (521236621), we get a palindrome (647868746).

The spelling of 126632125 in words is "one hundred twenty-six million, six hundred thirty-two thousand, one hundred twenty-five".