113795136 has 252 divisors, whose sum is σ = 406066752. Its totient is φ = 29832192.

The previous prime is 113795119. The next prime is 113795137. The reversal of 113795136 is 631597311.

113795136 is a `hidden beast` number, since 1 + 137 + 9 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113795136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113795137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681325 + ... + 681491.

It is an arithmetic number, because the mean of its divisors is an integer number (1611376).

Almost surely, 2^113795136 is an apocalyptic number.

113795136 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 113795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203033376).

113795136 is an abundant number, since it is smaller than the sum of its proper divisors (292271616).

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

113795136 is a wasteful number, since it uses less digits than its factorization.

113795136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 113795136 is about 10667.4803023019. The cubic root of 113795136 is about 484.5901323431.

The spelling of 113795136 in words is "one hundred thirteen million, seven hundred ninety-five thousand, one hundred thirty-six".