136479168 has 140 divisors (see below), whose sum is σ = 462485232. Its totient is φ = 38983680.

The previous prime is 136479163. The next prime is 136479169. The reversal of 136479168 is 861974631.

It is a happy number.

136479168 is a `hidden beast` number, since 13 + 6 + 479 + 168 = 666.

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 (136479163) 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 19 ways as a sum of consecutive naturals, for example, 34408 + ... + 38168.

Almost surely, 2^136479168 is an apocalyptic number.

136479168 is a gapful number since it is divisible by the number (18) 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 136479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231242616).

136479168 is an abundant number, since it is smaller than the sum of its proper divisors (326006064).

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

136479168 is an equidigital number, since it uses as much as digits as its factorization.

136479168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3773 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 136479168 is about 11682.4298842321. The cubic root of 136479168 is about 514.8595689622.

The spelling of 136479168 in words is "one hundred thirty-six million, four hundred seventy-nine thousand, one hundred sixty-eight".