136311168 has 256 divisors, whose sum is σ = 464140800. Its totient is φ = 34504704.

The previous prime is 136311167. The next prime is 136311169. The reversal of 136311168 is 861113631.

It is an interprime number because it is at equal distance from previous prime (136311167) and next prime (136311169).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136311163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868146 + ... + 868302.

It is an arithmetic number, because the mean of its divisors is an integer number (1813050).

Almost surely, 2^136311168 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 136311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232070400).

136311168 is an abundant number, since it is smaller than the sum of its proper divisors (327829632).

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

136311168 is a wasteful number, since it uses less digits than its factorization.

136311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 136311168 is about 11675.2373851670. The cubic root of 136311168 is about 514.6482255407.

Adding to 136311168 its reverse (861113631), we get a palindrome (997424799).

The spelling of 136311168 in words is "one hundred thirty-six million, three hundred eleven thousand, one hundred sixty-eight".