113742144 has 140 divisors (see below), whose sum is σ = 346863924. Its totient is φ = 36827136.

The previous prime is 113742143. The next prime is 113742173. The reversal of 113742144 is 441247311.

It can be written as a sum of positive squares in 2 ways, for example, as 87609600 + 26132544 = 9360^2 + 5112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113742143) 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 19 ways as a sum of consecutive naturals, for example, 191512 + ... + 192104.

Almost surely, 2^113742144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173431962).

113742144 is an abundant number, since it is smaller than the sum of its proper divisors (233121780).

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

113742144 is an equidigital number, since it uses as much as digits as its factorization.

113742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 635 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 113742144 is about 10664.9962025310. The cubic root of 113742144 is about 484.5148995217.

Adding to 113742144 its reverse (441247311), we get a palindrome (554989455).

The spelling of 113742144 in words is "one hundred thirteen million, seven hundred forty-two thousand, one hundred forty-four".