113534300 has 72 divisors (see below), whose sum is σ = 271305552. Its totient is φ = 41236800.

The previous prime is 113534293. The next prime is 113534303. The reversal of 113534300 is 3435311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113534303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132674 + ... + 133526.

Almost surely, 2^113534300 is an apocalyptic number.

113534300 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 113534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135652776).

113534300 is an abundant number, since it is smaller than the sum of its proper divisors (157771252).

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

113534300 is a wasteful number, since it uses less digits than its factorization.

113534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 113534300 is about 10655.2475334926. The cubic root of 113534300 is about 484.2195973204.

Adding to 113534300 its reverse (3435311), we get a palindrome (116969611).

The spelling of 113534300 in words is "one hundred thirteen million, five hundred thirty-four thousand, three hundred".