127135676448 has 144 divisors (see below), whose sum is σ = 415168135200. Its totient is φ = 36498263040.

The previous prime is 127135676441. The next prime is 127135676449. The reversal of 127135676448 is 844676531721.

127135676448 is a `hidden beast` number, since 1 + 2 + 7 + 13 + 567 + 64 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 127135676394 and 127135676403.

It is not an unprimeable number, because it can be changed into a prime (127135676441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995893 + ... + 1116276.

It is an arithmetic number, because the mean of its divisors is an integer number (2883112050).

Almost surely, 2^127135676448 is an apocalyptic number.

127135676448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

127135676448 is an abundant number, since it is smaller than the sum of its proper divisors (288032458752).

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

127135676448 is a wasteful number, since it uses less digits than its factorization.

127135676448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112215 (or 2112204 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 127135676448 in words is "one hundred twenty-seven billion, one hundred thirty-five million, six hundred seventy-six thousand, four hundred forty-eight".