112135131 has 32 divisors (see below), whose sum is σ = 175788800. Its totient is φ = 70450560.

The previous prime is 112135129. The next prime is 112135147. The reversal of 112135131 is 131531211.

It is not a de Polignac number, because 112135131 - 2¹ = 112135129 is a prime.

It is a super-2 number, since 2×112135131² = 25148575208774322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112135171) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123180 + ... + 124086.

It is an arithmetic number, because the mean of its divisors is an integer number (5493400).

Almost surely, 2^112135131 is an apocalyptic number.

112135131 is a deficient number, since it is larger than the sum of its proper divisors (63653669).

112135131 is a wasteful number, since it uses less digits than its factorization.

112135131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1170 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 112135131 is about 10589.3876593503. The cubic root of 112135131 is about 482.2222350014. Note that the first 4 decimals are identical.

Adding to 112135131 its reverse (131531211), we get a palindrome (243666342).

The spelling of 112135131 in words is "one hundred twelve million, one hundred thirty-five thousand, one hundred thirty-one".