127130976 has 144 divisors (see below), whose sum is σ = 435052800. Its totient is φ = 34401024.

The previous prime is 127130963. The next prime is 127131061. The reversal of 127130976 is 679031721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 127130976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36645 + ... + 39963.

It is an arithmetic number, because the mean of its divisors is an integer number (3021200).

Almost surely, 2^127130976 is an apocalyptic number.

127130976 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 127130976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217526400).

127130976 is an abundant number, since it is smaller than the sum of its proper divisors (307921824).

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

127130976 is a wasteful number, since it uses less digits than its factorization.

127130976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 127130976 is about 11275.2372924032. The cubic root of 127130976 is about 502.8253065490.

The spelling of 127130976 in words is "one hundred twenty-seven million, one hundred thirty thousand, nine hundred seventy-six".