112507136 has 54 divisors (see below), whose sum is σ = 261269190. Its totient is φ = 48211968.

The previous prime is 112507133. The next prime is 112507163. The reversal of 112507136 is 631705211.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 15366400 = 9856^2 + 3920^2 .

It is not an unprimeable number, because it can be changed into a prime (112507133) 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 5 ways as a sum of consecutive naturals, for example, 8060 + ... + 17028.

Almost surely, 2^112507136 is an apocalyptic number.

112507136 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 112507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130634595).

112507136 is an abundant number, since it is smaller than the sum of its proper divisors (148762054).

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

112507136 is an frugal number, since it uses more digits than its factorization.

112507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 112507136 is about 10606.9381067300. The cubic root of 112507136 is about 482.7548990977.

The spelling of 112507136 in words is "one hundred twelve million, five hundred seven thousand, one hundred thirty-six".