134112 has 48 divisors (see below), whose sum is σ = 387072. Its totient is φ = 40320.

The previous prime is 134093. The next prime is 134129. The reversal of 134112 is 211431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

134112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2¹³⁴¹¹² is an apocalyptic number.

134112 is a gapful number since it is divisible by the number (12) 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 134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

134112 is an abundant number, since it is smaller than the sum of its proper divisors (252960).

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

134112 is a wasteful number, since it uses less digits than its factorization.

134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 134112 is about 366.2130527439. The cubic root of 134112 is about 51.1865524579.

Adding to 134112 its reverse (211431), we get a palindrome (345543).

The spelling of 134112 in words is "one hundred thirty-four thousand, one hundred twelve".