127128705 has 64 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 58291200.

The previous prime is 127128671. The next prime is 127128713. The reversal of 127128705 is 507821721.

It is a de Polignac number, because none of the positive numbers 2^k-127128705 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 527385 + ... + 527625.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^127128705 is an apocalyptic number.

127128705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127128705 is a deficient number, since it is larger than the sum of its proper divisors (107049855).

127128705 is a wasteful number, since it uses less digits than its factorization.

127128705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422.

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 127128705 is about 11275.1365845386. The cubic root of 127128705 is about 502.8223124634.

The spelling of 127128705 in words is "one hundred twenty-seven million, one hundred twenty-eight thousand, seven hundred five".