112529538 has 48 divisors (see below), whose sum is σ = 272185056. Its totient is φ = 33304320.

The previous prime is 112529537. The next prime is 112529539. The reversal of 112529538 is 835925211.

112529538 is a `hidden beast` number, since 112 + 5 + 2 + 9 + 538 = 666.

It is an interprime number because it is at equal distance from previous prime (112529537) and next prime (112529539).

It is not an unprimeable number, because it can be changed into a prime (112529537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1906 + ... + 15122.

It is an arithmetic number, because the mean of its divisors is an integer number (5670522).

Almost surely, 2^112529538 is an apocalyptic number.

112529538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112529538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136092528).

112529538 is an abundant number, since it is smaller than the sum of its proper divisors (159655518).

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

112529538 is a wasteful number, since it uses less digits than its factorization.

112529538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13276 counting only the distinct ones).

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

The square root of 112529538 is about 10607.9940610843. The cubic root of 112529538 is about 482.7869384211.

The spelling of 112529538 in words is "one hundred twelve million, five hundred twenty-nine thousand, five hundred thirty-eight".