113135616 has 260 divisors, whose sum is σ = 380586624. Its totient is φ = 33177600.

The previous prime is 113135611. The next prime is 113135621. The reversal of 113135616 is 616531311.

113135616 is a `hidden beast` number, since 1 + 13 + 1 + 35 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (113135611) and next prime (113135621).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 113135616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113135611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649521 + ... + 3649551.

Almost surely, 2^113135616 is an apocalyptic number.

113135616 is a gapful number since it is divisible by the number (16) 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 113135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190293312).

113135616 is an abundant number, since it is smaller than the sum of its proper divisors (267451008).

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

113135616 is an equidigital number, since it uses as much as digits as its factorization.

113135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 113135616 is about 10636.5227400688. The cubic root of 113135616 is about 483.6521417342.

Adding to 113135616 its reverse (616531311), we get a palindrome (729666927).

The spelling of 113135616 in words is "one hundred thirteen million, one hundred thirty-five thousand, six hundred sixteen".