136116 has 36 divisors (see below), whose sum is σ = 364000. Its totient is φ = 42768.

The previous prime is 136111. The next prime is 136133. The reversal of 136116 is 611631.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136111) by changing a digit.

136116 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, 585 + ... + 783.

2¹³⁶¹¹⁶ 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 136116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182000).

136116 is an abundant number, since it is smaller than the sum of its proper divisors (227884).

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

136116 is a wasteful number, since it uses less digits than its factorization.

136116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 136116 is about 368.9390193514. The cubic root of 136116 is about 51.4402486711.

Adding to 136116 its reverse (611631), we get a palindrome (747747).

It can be divided in two parts, 136 and 116, that added together give a palindrome (252).

The spelling of 136116 in words is "one hundred thirty-six thousand, one hundred sixteen".