127911952 has 120 divisors (see below), whose sum is σ = 314384640. Its totient is φ = 50077440.

The previous prime is 127911943. The next prime is 127911977. The reversal of 127911952 is 259119721.

It is a super-2 number, since 2×127911952² = 32722934928900608, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 461638 + ... + 461914.

It is an arithmetic number, because the mean of its divisors is an integer number (2619872).

Almost surely, 2^127911952 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 127911952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157192320).

127911952 is an abundant number, since it is smaller than the sum of its proper divisors (186472688).

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

127911952 is a wasteful number, since it uses less digits than its factorization.

127911952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its digits is 11340, while the sum is 37.

The square root of 127911952 is about 11309.8166209714. The cubic root of 127911952 is about 503.8528376929.

It can be divided in two parts, 1279 and 11952, that added together give a palindrome (13231).

The spelling of 127911952 in words is "one hundred twenty-seven million, nine hundred eleven thousand, nine hundred fifty-two".