127137 has 4 divisors (see below), whose sum is σ = 169520. Its totient is φ = 84756.

The previous prime is 127133. The next prime is 127139. The reversal of 127137 is 731721.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 127137 - 2² = 127133 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21187 + ... + 21192.

It is an arithmetic number, because the mean of its divisors is an integer number (42380).

2¹²⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

127137 is a deficient number, since it is larger than the sum of its proper divisors (42383).

127137 is an equidigital number, since it uses as much as digits as its factorization.

127137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42382.

The product of its digits is 294, while the sum is 21.

The square root of 127137 is about 356.5627574495. The cubic root of 127137 is about 50.2833248416.

Adding to 127137 its reverse (731721), we get a palindrome (858858).

It can be divided in two parts, 12713 and 7, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 127137 in words is "one hundred twenty-seven thousand, one hundred thirty-seven".