112999536 has 200 divisors, whose sum is σ = 371799120. Its totient is φ = 32845824.

The previous prime is 112999531. The next prime is 112999583. The reversal of 112999536 is 635999211.

It is a happy number.

112999536 is a `hidden beast` number, since 1 + 1 + 29 + 99 + 536 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (131220) is a multiple of the sum of its prime factors (405).

It is a junction number, because it is equal to n+sod(n) for n = 112999491 and 112999500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112999531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319936 + ... + 320288.

Almost surely, 2^112999536 is an apocalyptic number.

112999536 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 112999536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185899560).

112999536 is an abundant number, since it is smaller than the sum of its proper divisors (258799584).

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

112999536 is a wasteful number, since it uses less digits than its factorization.

112999536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 112999536 is about 10630.1239879881. The cubic root of 112999536 is about 483.4581509849.

The spelling of 112999536 in words is "one hundred twelve million, nine hundred ninety-nine thousand, five hundred thirty-six".