134964 has 36 divisors (see below), whose sum is σ = 358176. Its totient is φ = 42768.

The previous prime is 134951. The next prime is 134989. The reversal of 134964 is 469431.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

134964 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, 747 + ... + 909.

2¹³⁴⁹⁶⁴ 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 134964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179088).

134964 is an abundant number, since it is smaller than the sum of its proper divisors (223212).

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

134964 is a wasteful number, since it uses less digits than its factorization.

134964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 134964 is about 367.3744683562. The cubic root of 134964 is about 51.2947180591.

The spelling of 134964 in words is "one hundred thirty-four thousand, nine hundred sixty-four".