113535240 has 256 divisors, whose sum is σ = 432069120. Its totient is φ = 23224320.

The previous prime is 113535181. The next prime is 113535263. The reversal of 113535240 is 42535311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113535240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403900 + ... + 404180.

It is an arithmetic number, because the mean of its divisors is an integer number (1687770).

Almost surely, 2^113535240 is an apocalyptic number.

113535240 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 113535240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216034560).

113535240 is an abundant number, since it is smaller than the sum of its proper divisors (318533880).

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

113535240 is a wasteful number, since it uses less digits than its factorization.

113535240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 113535240 is about 10655.2916431227. The cubic root of 113535240 is about 484.2209336718.

It can be divided in two parts, 113535 and 240, that multiplied together give a square (27248400 = 5220²).

The spelling of 113535240 in words is "one hundred thirteen million, five hundred thirty-five thousand, two hundred forty".