113040 has 60 divisors (see below), whose sum is σ = 382044. Its totient is φ = 29952.

The previous prime is 113039. The next prime is 113041. The reversal of 113040 is 40311.

It is an interprime number because it is at equal distance from previous prime (113039) and next prime (113041).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 76176 = 192^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×113040³ = 4333289467392000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (113041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642 + ... + 798.

2¹¹³⁰⁴⁰ is an apocalyptic number.

113040 is a gapful number since it is divisible by the number (10) 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 113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191022).

113040 is an abundant number, since it is smaller than the sum of its proper divisors (269004).

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

113040 is a wasteful number, since it uses less digits than its factorization.

113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113040 is about 336.2142174269. The cubic root of 113040 is about 48.3515851269.

Adding to 113040 its reverse (40311), we get a palindrome (153351).

It can be divided in two parts, 1 and 13040, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 113040 in words is "one hundred thirteen thousand, forty".