112535892 has 180 divisors, whose sum is σ = 354113760. Its totient is φ = 30518208.

The previous prime is 112535887. The next prime is 112535897. The reversal of 112535892 is 298535211.

112535892 is a `hidden beast` number, since 112 + 535 + 8 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112535887) and next prime (112535897).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21600) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112535897) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1907359 + ... + 1907417.

Almost surely, 2^112535892 is an apocalyptic number.

112535892 is a gapful number since it is divisible by the number (12) 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 112535892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177056880).

112535892 is an abundant number, since it is smaller than the sum of its proper divisors (241577868).

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

112535892 is a wasteful number, since it uses less digits than its factorization.

112535892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 112535892 is about 10608.2935479746. The cubic root of 112535892 is about 482.7960251330.

The spelling of 112535892 in words is "one hundred twelve million, five hundred thirty-five thousand, eight hundred ninety-two".