113985536 has 48 divisors (see below), whose sum is σ = 260507520. Its totient is φ = 48844800.

The previous prime is 113985533. The next prime is 113985583. The reversal of 113985536 is 635589311.

It is a junction number, because it is equal to n+sod(n) for n = 113985493 and 113985502.

It is not an unprimeable number, because it can be changed into a prime (113985533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10361 + ... + 18311.

It is an arithmetic number, because the mean of its divisors is an integer number (5427240).

Almost surely, 2^113985536 is an apocalyptic number.

113985536 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 113985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130253760).

113985536 is an abundant number, since it is smaller than the sum of its proper divisors (146521984).

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

113985536 is an frugal number, since it uses more digits than its factorization.

113985536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7960 counting only the distinct ones).

The product of its digits is 97200, while the sum is 41.

The square root of 113985536 is about 10676.4008916863. The cubic root of 113985536 is about 484.8602509468.

The spelling of 113985536 in words is "one hundred thirteen million, nine hundred eighty-five thousand, five hundred thirty-six".