113742 has 24 divisors (see below), whose sum is σ = 252720. Its totient is φ = 36960.

The previous prime is 113731. The next prime is 113749. The reversal of 113742 is 247311.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (168) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113742.

It is not an unprimeable number, because it can be changed into a prime (113749) by changing a digit.

113742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2¹¹³⁷⁴² is an apocalyptic number.

113742 is an abundant number, since it is smaller than the sum of its proper divisors (138978).

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

113742 is a wasteful number, since it uses less digits than its factorization.

113742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 165 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 113742 is about 337.2565788832. The cubic root of 113742 is about 48.4514695053.

The spelling of 113742 in words is "one hundred thirteen thousand, seven hundred forty-two".