127768914 has 144 divisors (see below), whose sum is σ = 357110208. Its totient is φ = 33382368.

The previous prime is 127768903. The next prime is 127768919. The reversal of 127768914 is 419867721.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 127768914.

It is not an unprimeable number, because it can be changed into a prime (127768919) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1194049 + ... + 1194155.

It is an arithmetic number, because the mean of its divisors is an integer number (2479932).

Almost surely, 2^127768914 is an apocalyptic number.

127768914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127768914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178555104).

127768914 is an abundant number, since it is smaller than the sum of its proper divisors (229341294).

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

127768914 is an equidigital number, since it uses as much as digits as its factorization.

127768914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 127768914 is about 11303.4912305889. The cubic root of 127768914 is about 503.6649558935.

The spelling of 127768914 in words is "one hundred twenty-seven million, seven hundred sixty-eight thousand, nine hundred fourteen".