113946756 has 144 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 29090880.

The previous prime is 113946751. The next prime is 113946757. The reversal of 113946756 is 657649311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (113946751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510861 + ... + 511083.

It is an arithmetic number, because the mean of its divisors is an integer number (2383360).

Almost surely, 2^113946756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113946756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

113946756 is an abundant number, since it is smaller than the sum of its proper divisors (229257084).

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

113946756 is a wasteful number, since it uses less digits than its factorization.

113946756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 325 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 113946756 is about 10674.5845820809. The cubic root of 113946756 is about 484.8052585505.

It can be divided in two parts, 1139 and 46756, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 113946756 in words is "one hundred thirteen million, nine hundred forty-six thousand, seven hundred fifty-six".