136282680 has 96 divisors (see below), whose sum is σ = 448353360. Its totient is φ = 35896320.

The previous prime is 136282673. The next prime is 136282681. The reversal of 136282680 is 86282631.

136282680 is a `hidden beast` number, since 1 + 3 + 628 + 26 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136282681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27600 + ... + 32160.

Almost surely, 2^136282680 is an apocalyptic number.

136282680 is a gapful number since it is divisible by the number (10) 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 136282680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224176680).

136282680 is an abundant number, since it is smaller than the sum of its proper divisors (312070680).

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

136282680 is a wasteful number, since it uses less digits than its factorization.

136282680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136282680 is about 11674.0173033965. The cubic root of 136282680 is about 514.6123705178.

The spelling of 136282680 in words is "one hundred thirty-six million, two hundred eighty-two thousand, six hundred eighty".