127545324757461 has 40 divisors (see below), whose sum is σ = 212262285284280. Its totient is φ = 75782898511488.

The previous prime is 127545324757439. The next prime is 127545324757547. The reversal of 127545324757461 is 164757423545721.

127545324757461 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 4 + 5 + 32 + 475 + 74 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38881086120900 + 88664238636561 = 6235470^2 + 9416169^2 .

It is not a de Polignac number, because 127545324757461 - 2⁵ = 127545324757429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127545324757421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2088342990 + ... + 2088404063.

It is an arithmetic number, because the mean of its divisors is an integer number (5306557132107).

Almost surely, 2^{127545324757461} is an apocalyptic number.

It is an amenable number.

127545324757461 is a deficient number, since it is larger than the sum of its proper divisors (84716960526819).

127545324757461 is a wasteful number, since it uses less digits than its factorization.

127545324757461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176747107 (or 4176747098 counting only the distinct ones).

The product of its digits is 197568000, while the sum is 63.

The spelling of 127545324757461 in words is "one hundred twenty-seven trillion, five hundred forty-five billion, three hundred twenty-four million, seven hundred fifty-seven thousand, four hundred sixty-one".