113985792 has 180 divisors, whose sum is σ = 356146560. Its totient is φ = 36191232.

The previous prime is 113985757. The next prime is 113985797. The reversal of 113985792 is 297589311.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (113985797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476809 + ... + 477047.

It is an arithmetic number, because the mean of its divisors is an integer number (1978592).

Almost surely, 2^113985792 is an apocalyptic number.

113985792 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 113985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073280).

113985792 is an abundant number, since it is smaller than the sum of its proper divisors (242160768).

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

113985792 is an equidigital number, since it uses as much as digits as its factorization.

113985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 113985792 is about 10676.4128807385. The cubic root of 113985792 is about 484.8606139289.

The spelling of 113985792 in words is "one hundred thirteen million, nine hundred eighty-five thousand, seven hundred ninety-two".