113539680 has 144 divisors (see below), whose sum is σ = 398112624. Its totient is φ = 29445120.

The previous prime is 113539637. The next prime is 113539697. The reversal of 113539680 is 86935311.

It is a happy number.

113539680 is a `hidden beast` number, since 113 + 539 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52215 + ... + 54345.

It is an arithmetic number, because the mean of its divisors is an integer number (2764671).

Almost surely, 2^113539680 is an apocalyptic number.

113539680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10655×10656.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199056312).

113539680 is an abundant number, since it is smaller than the sum of its proper divisors (284572944).

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

113539680 is a wasteful number, since it uses less digits than its factorization.

113539680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 113539680 is about 10655.4999882690. The cubic root of 113539680 is about 484.2272457000.

The spelling of 113539680 in words is "one hundred thirteen million, five hundred thirty-nine thousand, six hundred eighty".