127134273511680 has 576 divisors, whose sum is σ = 422585306357760. Its totient is φ = 32535088201728.

The previous prime is 127134273511649. The next prime is 127134273511717. The reversal of 127134273511680 is 86115372431721.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35741992462 + ... + 35741996018.

It is an arithmetic number, because the mean of its divisors is an integer number (733655045760).

Almost surely, 2^{127134273511680} is an apocalyptic number.

127134273511680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127134273511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211292653178880).

127134273511680 is an abundant number, since it is smaller than the sum of its proper divisors (295451032846080).

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

127134273511680 is a wasteful number, since it uses less digits than its factorization.

127134273511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 127134273511680 in words is "one hundred twenty-seven trillion, one hundred thirty-four billion, two hundred seventy-three million, five hundred eleven thousand, six hundred eighty".