113456 has 20 divisors (see below), whose sum is σ = 251472. Its totient is φ = 48576.

The previous prime is 113453. The next prime is 113467. The reversal of 113456 is 654311.

113456 = T₁₁₁ + T₁₁₂ + ... + T₁₂₆.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (113453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 618.

2¹¹³⁴⁵⁶ is an apocalyptic number.

113456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113456 is an abundant number, since it is smaller than the sum of its proper divisors (138016).

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

113456 is a wasteful number, since it uses less digits than its factorization.

113456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 113456 is about 336.8323024889. The cubic root of 113456 is about 48.4108256184.

Adding to 113456 its reverse (654311), we get a palindrome (767767).

It can be divided in two parts, 1134 and 56, that multiplied together give a square (63504 = 252²).

The spelling of 113456 in words is "one hundred thirteen thousand, four hundred fifty-six".