127136 has 24 divisors (see below), whose sum is σ = 260820. Its totient is φ = 60928.

The previous prime is 127133. The next prime is 127139. The reversal of 127136 is 631721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127133) and next prime (127139).

It can be written as a sum of positive squares in 2 ways, for example, as 126736 + 400 = 356^2 + 20^2 .

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 860 + ... + 996.

2¹²⁷¹³⁶ is an apocalyptic number.

127136 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 127136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130410).

127136 is an abundant number, since it is smaller than the sum of its proper divisors (133684).

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

127136 is a wasteful number, since it uses less digits than its factorization.

127136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 127136 is about 356.5613551691. The cubic root of 127136 is about 50.2831930062.

Adding to 127136 its reverse (631721), we get a palindrome (758857).

The spelling of 127136 in words is "one hundred twenty-seven thousand, one hundred thirty-six".