113436288 has 192 divisors, whose sum is σ = 387616320. Its totient is φ = 32348160.

The previous prime is 113436277. The next prime is 113436311. The reversal of 113436288 is 882634311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 217468 + ... + 217988.

It is an arithmetic number, because the mean of its divisors is an integer number (2018835).

Almost surely, 2^113436288 is an apocalyptic number.

113436288 is a gapful number since it is divisible by the number (18) 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 113436288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193808160).

113436288 is an abundant number, since it is smaller than the sum of its proper divisors (274180032).

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

113436288 is an frugal number, since it uses more digits than its factorization.

113436288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 533 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 113436288 is about 10650.6473042722. The cubic root of 113436288 is about 484.0802180178.

The spelling of 113436288 in words is "one hundred thirteen million, four hundred thirty-six thousand, two hundred eighty-eight".