113934336 has 128 divisors (see below), whose sum is σ = 325053600. Its totient is φ = 35389440.

The previous prime is 113934319. The next prime is 113934343. The reversal of 113934336 is 633439311.

113934336 = 3554² + 3555² + ... + 3562².

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 113934297 and 113934306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1867746 + ... + 1867806.

Almost surely, 2^113934336 is an apocalyptic number.

113934336 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 113934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162526800).

113934336 is an abundant number, since it is smaller than the sum of its proper divisors (211119264).

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

113934336 is an frugal number, since it uses more digits than its factorization.

113934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The square root of 113934336 is about 10674.0028105674. The cubic root of 113934336 is about 484.7876435980.

The spelling of 113934336 in words is "one hundred thirteen million, nine hundred thirty-four thousand, three hundred thirty-six".