134688 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 42240.

The previous prime is 134683. The next prime is 134699. The reversal of 134688 is 886431.

It is a happy number.

It is a Cunningham number, because it is equal to 367²-1.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 134688.

It is not an unprimeable number, because it can be changed into a prime (134681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2178 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹³⁴⁶⁸⁸ 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 134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

134688 is an abundant number, since it is smaller than the sum of its proper divisors (240288).

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

134688 is a wasteful number, since it uses less digits than its factorization.

134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 134688 is about 366.9986375997. The cubic root of 134688 is about 51.2597284724.

The spelling of 134688 in words is "one hundred thirty-four thousand, six hundred eighty-eight".