127938509118 has 144 divisors (see below), whose sum is σ = 342190764864. Its totient is φ = 34326512640.

The previous prime is 127938509093. The next prime is 127938509137. The reversal of 127938509118 is 811905839721.

127938509118 is a `hidden beast` number, since 12 + 7 + 9 + 3 + 8 + 509 + 118 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6842923 + ... + 6861593.

It is an arithmetic number, because the mean of its divisors is an integer number (2376324756).

Almost surely, 2^127938509118 is an apocalyptic number.

127938509118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127938509118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171095382432).

127938509118 is an abundant number, since it is smaller than the sum of its proper divisors (214252255746).

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

127938509118 is a wasteful number, since it uses less digits than its factorization.

127938509118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19167 (or 19157 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 127938509118 in words is "one hundred twenty-seven billion, nine hundred thirty-eight million, five hundred nine thousand, one hundred eighteen".