126006541 has 8 divisors (see below), whose sum is σ = 129831224. Its totient is φ = 122238720.

The previous prime is 126006521. The next prime is 126006553. The reversal of 126006541 is 145600621.

It can be written as a sum of positive squares in 4 ways, for example, as 1572516 + 124434025 = 1254^2 + 11155^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126006541 - 2¹³ = 125998349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126006521) 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 7 ways as a sum of consecutive naturals, for example, 9696 + ... + 18601.

It is an arithmetic number, because the mean of its divisors is an integer number (16228903).

Almost surely, 2^126006541 is an apocalyptic number.

It is an amenable number.

126006541 is a deficient number, since it is larger than the sum of its proper divisors (3824683).

126006541 is an equidigital number, since it uses as much as digits as its factorization.

126006541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28431.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 126006541 is about 11225.2635158378. The cubic root of 126006541 is about 501.3384684738.

The spelling of 126006541 in words is "one hundred twenty-six million, six thousand, five hundred forty-one".