127552768 has 144 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 49840128.

The previous prime is 127552741. The next prime is 127552787. The reversal of 127552768 is 867255721.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1614553 + ... + 1614631.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 2^127552768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

127552768 is an abundant number, since it is smaller than the sum of its proper divisors (190330112).

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

127552768 is an equidigital number, since it uses as much as digits as its factorization.

127552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its digits is 235200, while the sum is 43.

The square root of 127552768 is about 11293.9261552394. The cubic root of 127552768 is about 503.3807798009.

The spelling of 127552768 in words is "one hundred twenty-seven million, five hundred fifty-two thousand, seven hundred sixty-eight".