127227136 has 36 divisors (see below), whose sum is σ = 258776532. Its totient is φ = 62406656.

The previous prime is 127227103. The next prime is 127227137. The reversal of 127227136 is 631722721.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 77440000 = 7056^2 + 8800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 127227098 and 127227107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127227137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8880 + ... + 18256.

It is an arithmetic number, because the mean of its divisors is an integer number (7188237).

Almost surely, 2^127227136 is an apocalyptic number.

127227136 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 127227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129388266).

127227136 is an abundant number, since it is smaller than the sum of its proper divisors (131549396).

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

127227136 is an frugal number, since it uses more digits than its factorization.

127227136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 9432 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 127227136 is about 11279.5006981692. The cubic root of 127227136 is about 502.9520511534.

Adding to 127227136 its reverse (631722721), we get a palindrome (758949857).

The spelling of 127227136 in words is "one hundred twenty-seven million, two hundred twenty-seven thousand, one hundred thirty-six".