127315136 has 84 divisors (see below), whose sum is σ = 278892000. Its totient is φ = 57627648.

The previous prime is 127315117. The next prime is 127315147. The reversal of 127315136 is 631513721.

It is a junction number, because it is equal to n+sod(n) for n = 127315099 and 127315108.

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 11 ways as a sum of consecutive naturals, for example, 854390 + ... + 854538.

Almost surely, 2^127315136 is an apocalyptic number.

127315136 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 127315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139446000).

127315136 is an abundant number, since it is smaller than the sum of its proper divisors (151576864).

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

127315136 is a wasteful number, since it uses less digits than its factorization.

127315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 127315136 is about 11283.4009057553. The cubic root of 127315136 is about 503.0679844396.

Adding to 127315136 its reverse (631513721), we get a palindrome (758828857).

The spelling of 127315136 in words is "one hundred twenty-seven million, three hundred fifteen thousand, one hundred thirty-six".