113686144 has 64 divisors (see below), whose sum is σ = 266122080. Its totient is φ = 47692800.

The previous prime is 113686141. The next prime is 113686151. The reversal of 113686144 is 441686311.

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

It is not an unprimeable number, because it can be changed into a prime (113686141) 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, 15199 + ... + 21409.

Almost surely, 2^113686144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133061040).

113686144 is an abundant number, since it is smaller than the sum of its proper divisors (152435936).

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

113686144 is a wasteful number, since it uses less digits than its factorization.

113686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6237 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 113686144 is about 10662.3704681464. The cubic root of 113686144 is about 484.4353708395.

The spelling of 113686144 in words is "one hundred thirteen million, six hundred eighty-six thousand, one hundred forty-four".