126540125 has 8 divisors (see below), whose sum is σ = 157922232. Its totient is φ = 101232000.

The previous prime is 126540107. The next prime is 126540151. The reversal of 126540125 is 521045621.

It can be written as a sum of positive squares in 4 ways, for example, as 606841 + 125933284 = 779^2 + 11222^2 .

It is not a de Polignac number, because 126540125 - 2⁸ = 126539869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126540094 and 126540103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506036 + ... + 506285.

It is an arithmetic number, because the mean of its divisors is an integer number (19740279).

Almost surely, 2^126540125 is an apocalyptic number.

It is an amenable number.

126540125 is a deficient number, since it is larger than the sum of its proper divisors (31382107).

126540125 is an equidigital number, since it uses as much as digits as its factorization.

126540125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012336 (or 1012326 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 126540125 is about 11249.0055115997. The cubic root of 126540125 is about 502.0451235344.

Adding to 126540125 its reverse (521045621), we get a palindrome (647585746).

It can be divided in two parts, 126540 and 125, that multiplied together give a triangular number (15817500 = T₅₆₂₄).

The spelling of 126540125 in words is "one hundred twenty-six million, five hundred forty thousand, one hundred twenty-five".