136136 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 46080.

The previous prime is 136133. The next prime is 136139. The reversal of 136136 is 631631.

136136 = 39² + 40² + ... + 77².

It is an interprime number because it is at equal distance from previous prime (136133) and next prime (136139).

Its product of digits (324) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (136133) 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 15 ways as a sum of consecutive naturals, for example, 8000 + ... + 8016.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2¹³⁶¹³⁶ 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 136136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

136136 is an abundant number, since it is smaller than the sum of its proper divisors (226744).

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

136136 is a wasteful number, since it uses less digits than its factorization.

136136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 136136 is about 368.9661231062. The cubic root of 136136 is about 51.4427679796.

Adding to 136136 its reverse (631631), we get a palindrome (767767).

It can be divided in two parts, 136 and 136, that added together give a palindrome (272).

The spelling of 136136 in words is "one hundred thirty-six thousand, one hundred thirty-six".