127132509 has 24 divisors (see below), whose sum is σ = 201391488. Its totient is φ = 71097600.

The previous prime is 127132469. The next prime is 127132517. The reversal of 127132509 is 905231721.

It is not a de Polignac number, because 127132509 - 2⁹ = 127131997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127132559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2292 + ... + 16109.

It is an arithmetic number, because the mean of its divisors is an integer number (8391312).

Almost surely, 2^127132509 is an apocalyptic number.

It is an amenable number.

127132509 is a deficient number, since it is larger than the sum of its proper divisors (74258979).

127132509 is a wasteful number, since it uses less digits than its factorization.

127132509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 127132509 is about 11275.3052730292. The cubic root of 127132509 is about 502.8273276355.

The spelling of 127132509 in words is "one hundred twenty-seven million, one hundred thirty-two thousand, five hundred nine".