113751 has 16 divisors (see below), whose sum is σ = 184320. Its totient is φ = 68760.

The previous prime is 113749. The next prime is 113759. The reversal of 113751 is 157311.

It is a happy number.

It is not a de Polignac number, because 113751 - 2¹ = 113749 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113759) 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 15 ways as a sum of consecutive naturals, for example, 106 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2¹¹³⁷⁵¹ is an apocalyptic number.

113751 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113751 is a deficient number, since it is larger than the sum of its proper divisors (70569).

113751 is a wasteful number, since it uses less digits than its factorization.

113751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 113751 is about 337.2699215762. The cubic root of 113751 is about 48.4527474024.

The spelling of 113751 in words is "one hundred thirteen thousand, seven hundred fifty-one".