136617984 has 168 divisors, whose sum is σ = 421698420. Its totient is φ = 42467328.

The previous prime is 136617983. The next prime is 136617997. The reversal of 136617984 is 489716631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128323584 + 8294400 = 11328^2 + 2880^2 .

It is not an unprimeable number, because it can be changed into a prime (136617983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253322 + ... + 1253430.

Almost surely, 2^136617984 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 136617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210849210).

136617984 is an abundant number, since it is smaller than the sum of its proper divisors (285080436).

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

136617984 is a wasteful number, since it uses less digits than its factorization.

136617984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

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

The square root of 136617984 is about 11688.3696040124. The cubic root of 136617984 is about 515.0340681896.

The spelling of 136617984 in words is "one hundred thirty-six million, six hundred seventeen thousand, nine hundred eighty-four".