113126688 has 72 divisors (see below), whose sum is σ = 332107776. Its totient is φ = 36489600.

The previous prime is 113126683. The next prime is 113126693. The reversal of 113126688 is 886621311.

It is an interprime number because it is at equal distance from previous prime (113126683) and next prime (113126693).

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (113126681) 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 11 ways as a sum of consecutive naturals, for example, 2593 + ... + 15263.

It is an arithmetic number, because the mean of its divisors is an integer number (4612608).

Almost surely, 2^113126688 is an apocalyptic number.

113126688 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 113126688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

113126688 is an abundant number, since it is smaller than the sum of its proper divisors (218981088).

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

113126688 is a wasteful number, since it uses less digits than its factorization.

113126688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718 (or 12707 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 113126688 is about 10636.1030457588. The cubic root of 113126688 is about 483.6394190684.

Adding to 113126688 its reverse (886621311), we get a palindrome (999747999).

The spelling of 113126688 in words is "one hundred thirteen million, one hundred twenty-six thousand, six hundred eighty-eight".