113205456 has 240 divisors, whose sum is σ = 399724416. Its totient is φ = 29113344.

The previous prime is 113205413. The next prime is 113205461. The reversal of 113205456 is 654502311.

113205456 is a `hidden beast` number, since 1 + 1 + 3 + 205 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694431 + ... + 694593.

Almost surely, 2^113205456 is an apocalyptic number.

113205456 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 113205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199862208).

113205456 is an abundant number, since it is smaller than the sum of its proper divisors (286518960).

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

113205456 is a wasteful number, since it uses less digits than its factorization.

113205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 113205456 is about 10639.8052613758. The cubic root of 113205456 is about 483.7516427242.

Adding to 113205456 its reverse (654502311), we get a palindrome (767707767).

The spelling of 113205456 in words is "one hundred thirteen million, two hundred five thousand, four hundred fifty-six".