127780131140 has 96 divisors (see below), whose sum is σ = 284192737920. Its totient is φ = 48125961216.

The previous prime is 127780131137. The next prime is 127780131181. The reversal of 127780131140 is 41131087721.

127780131140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 127780131140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68440487 + ... + 68442353.

It is an arithmetic number, because the mean of its divisors is an integer number (2960341020).

Almost surely, 2^127780131140 is an apocalyptic number.

127780131140 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 127780131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142096368960).

127780131140 is an abundant number, since it is smaller than the sum of its proper divisors (156412606780).

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

127780131140 is a wasteful number, since it uses less digits than its factorization.

127780131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 35.

The spelling of 127780131140 in words is "one hundred twenty-seven billion, seven hundred eighty million, one hundred thirty-one thousand, one hundred forty".