113531264 has 64 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 44229120.

The previous prime is 113531263. The next prime is 113531267. The reversal of 113531264 is 462135311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113531261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4097 + ... + 15615.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2^113531264 is an apocalyptic number.

113531264 is a gapful number since it is divisible by the number (14) 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 113531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

113531264 is an abundant number, since it is smaller than the sum of its proper divisors (168478336).

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

113531264 is a wasteful number, since it uses less digits than its factorization.

113531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11551 (or 11539 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 113531264 is about 10655.1050675251. The cubic root of 113531264 is about 484.2152811393.

Adding to 113531264 its reverse (462135311), we get a palindrome (575666575).

The spelling of 113531264 in words is "one hundred thirteen million, five hundred thirty-one thousand, two hundred sixty-four".