112409136 has 180 divisors, whose sum is σ = 372130200. Its totient is φ = 31578624.

The previous prime is 112409113. The next prime is 112409159. The reversal of 112409136 is 631904211.

It is an interprime number because it is at equal distance from previous prime (112409113) and next prime (112409159).

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 35 ways as a sum of consecutive naturals, for example, 627895 + ... + 628073.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 2^112409136 is an apocalyptic number.

112409136 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 112409136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186065100).

112409136 is an abundant number, since it is smaller than the sum of its proper divisors (259721064).

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

112409136 is a wasteful number, since it uses less digits than its factorization.

112409136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 112409136 is about 10602.3174825130. The cubic root of 112409136 is about 482.6146895520.

The spelling of 112409136 in words is "one hundred twelve million, four hundred nine thousand, one hundred thirty-six".