136656 has 60 divisors (see below), whose sum is σ = 417508. Its totient is φ = 41472.

The previous prime is 136651. The next prime is 136657. The reversal of 136656 is 656631.

136656 is a `hidden beast` number, since 1 + 3 + 6 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 90000 = 216^2 + 300^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1836 + ... + 1908.

2¹³⁶⁶⁵⁶ is an apocalyptic number.

136656 is a gapful number since it is divisible by the number (16) 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 136656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208754).

136656 is an abundant number, since it is smaller than the sum of its proper divisors (280852).

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

136656 is a wasteful number, since it uses less digits than its factorization.

136656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 136656 is about 369.6701232180. The cubic root of 136656 is about 51.5081835740.

The spelling of 136656 in words is "one hundred thirty-six thousand, six hundred fifty-six".