127864135706528 has 24 divisors (see below), whose sum is σ = 271096556955588. Its totient is φ = 59014216479744.

The previous prime is 127864135706521. The next prime is 127864135706603. The reversal of 127864135706528 is 825607531468721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 123161431187344 + 4702704519184 = 11097812^2 + 2168572^2 .

It is not an unprimeable number, because it can be changed into a prime (127864135706521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153682855001 + ... + 153682855832.

Almost surely, 2^{127864135706528} is an apocalyptic number.

It is an amenable number.

127864135706528 is an abundant number, since it is smaller than the sum of its proper divisors (143232421249060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127864135706528 is a wasteful number, since it uses less digits than its factorization.

127864135706528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307365710856 (or 307365710848 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 65.

The spelling of 127864135706528 in words is "one hundred twenty-seven trillion, eight hundred sixty-four billion, one hundred thirty-five million, seven hundred six thousand, five hundred twenty-eight".