136764 has 36 divisors (see below), whose sum is σ = 360360. Its totient is φ = 43680.

The previous prime is 136753. The next prime is 136769. The reversal of 136764 is 467631.

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

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 136764.

It is not an unprimeable number, because it can be changed into a prime (136769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (10010).

2¹³⁶⁷⁶⁴ 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 136764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180180).

136764 is an abundant number, since it is smaller than the sum of its proper divisors (223596).

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

136764 is a wasteful number, since it uses less digits than its factorization.

136764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 136764 is about 369.8161705496. The cubic root of 136764 is about 51.5217490694.

It can be divided in two parts, 1367 and 64, that added together give a triangular number (1431 = T₅₃).

The spelling of 136764 in words is "one hundred thirty-six thousand, seven hundred sixty-four".