127807804146 has 128 divisors (see below), whose sum is σ = 297605145600. Its totient is φ = 36183490560.

The previous prime is 127807804133. The next prime is 127807804151. The reversal of 127807804146 is 641408708721.

It is a junction number, because it is equal to n+sod(n) for n = 127807804095 and 127807804104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105018130 + ... + 105019346.

It is an arithmetic number, because the mean of its divisors is an integer number (2325040200).

Almost surely, 2^127807804146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127807804146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148802572800).

127807804146 is an abundant number, since it is smaller than the sum of its proper divisors (169797341454).

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

127807804146 is a wasteful number, since it uses less digits than its factorization.

127807804146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344.

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 127807804146 in words is "one hundred twenty-seven billion, eight hundred seven million, eight hundred four thousand, one hundred forty-six".