127632125 has 16 divisors (see below), whose sum is σ = 159836976. Its totient is φ = 101752000.

The previous prime is 127632049. The next prime is 127632143. The reversal of 127632125 is 521236721.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 57441241 + 70190884 = 7579^2 + 8378^2 .

It is a de Polignac number, because none of the positive numbers 2^k-127632125 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38015 + ... + 41235.

It is an arithmetic number, because the mean of its divisors is an integer number (9989811).

Almost surely, 2^127632125 is an apocalyptic number.

It is an amenable number.

127632125 is a deficient number, since it is larger than the sum of its proper divisors (32204851).

127632125 is an equidigital number, since it uses as much as digits as its factorization.

127632125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3543 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 127632125 is about 11297.4388690535. The cubic root of 127632125 is about 503.4851510028.

Adding to 127632125 its reverse (521236721), we get a palindrome (648868846).

The spelling of 127632125 in words is "one hundred twenty-seven million, six hundred thirty-two thousand, one hundred twenty-five".