112081536 has 256 divisors, whose sum is σ = 390700800. Its totient is φ = 30965760.

The previous prime is 112081517. The next prime is 112081579. The reversal of 112081536 is 635180211.

112081536 is a `hidden beast` number, since 1 + 120 + 8 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991816 + ... + 991928.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^112081536 is an apocalyptic number.

112081536 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 112081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

112081536 is an abundant number, since it is smaller than the sum of its proper divisors (278619264).

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

112081536 is a wasteful number, since it uses less digits than its factorization.

112081536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112081536 is about 10586.8567573194. The cubic root of 112081536 is about 482.1453966991.

The spelling of 112081536 in words is "one hundred twelve million, eighty-one thousand, five hundred thirty-six".