127318016 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 53403648.

The previous prime is 127318013. The next prime is 127318027. The reversal of 127318016 is 610813721.

It is a self number, because there is not a number n which added to its sum of digits gives 127318016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127318013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1189835 + ... + 1189941.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^127318016 is an apocalyptic number.

127318016 is a gapful number since it is divisible by the number (16) 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 127318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

127318016 is an abundant number, since it is smaller than the sum of its proper divisors (169880704).

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

127318016 is an equidigital number, since it uses as much as digits as its factorization.

127318016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 127318016 is about 11283.5285261305. The cubic root of 127318016 is about 503.0717777170.

The spelling of 127318016 in words is "one hundred twenty-seven million, three hundred eighteen thousand, sixteen".