113948136 has 48 divisors (see below), whose sum is σ = 309369060. Its totient is φ = 37889280.

The previous prime is 113948129. The next prime is 113948167. The reversal of 113948136 is 631849311.

It can be written as a sum of positive squares in 2 ways, for example, as 110376036 + 3572100 = 10506^2 + 1890^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 a self number, because there is not a number n which added to its sum of digits gives 113948136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31476 + ... + 34908.

Almost surely, 2^113948136 is an apocalyptic number.

It is an amenable number.

113948136 is an abundant number, since it is smaller than the sum of its proper divisors (195420924).

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

113948136 is a wasteful number, since it uses less digits than its factorization.

113948136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3899 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 113948136 is about 10674.6492214030. The cubic root of 113948136 is about 484.8072156884.

The spelling of 113948136 in words is "one hundred thirteen million, nine hundred forty-eight thousand, one hundred thirty-six".