126752417541 has 14 divisors (see below), whose sum is σ = 190041691590. Its totient is φ = 84501611208.

The previous prime is 126752417501. The next prime is 126752417557. The reversal of 126752417541 is 145714257621.

126752417541 is a `hidden beast` number, since 1 + 2 + 6 + 75 + 24 + 17 + 541 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106697609316 + 20054808225 = 326646^2 + 141615^2 .

It is not a de Polignac number, because 126752417541 - 2⁷ = 126752417413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126752417501) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 86935086 + ... + 86936543.

Almost surely, 2^126752417541 is an apocalyptic number.

It is an amenable number.

126752417541 is a deficient number, since it is larger than the sum of its proper divisors (63289274049).

126752417541 is an frugal number, since it uses more digits than its factorization.

126752417541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173871647 (or 173871632 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 126752417541 in words is "one hundred twenty-six billion, seven hundred fifty-two million, four hundred seventeen thousand, five hundred forty-one".