113850 has 72 divisors (see below), whose sum is σ = 348192. Its totient is φ = 26400.

The previous prime is 113843. The next prime is 113891. The reversal of 113850 is 58311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4939 + ... + 4961.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2¹¹³⁸⁵⁰ is an apocalyptic number.

113850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096).

113850 is an abundant number, since it is smaller than the sum of its proper divisors (234342).

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

113850 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 113850 = (183150)₉.

113850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113850 is about 337.4166563761. The cubic root of 113850 is about 48.4667998241.

Multiplying 113850 by its sum of digits (18), we get a triangular number (2049300 = T₂₀₂₄).

The spelling of 113850 in words is "one hundred thirteen thousand, eight hundred fifty".