136531680 has 192 divisors, whose sum is σ = 457228800. Its totient is φ = 34174976.

The previous prime is 136531669. The next prime is 136531693. The reversal of 136531680 is 86135631.

136531680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 916246 + ... + 916394.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^136531680 is an apocalyptic number.

136531680 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 136531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228614400).

136531680 is an abundant number, since it is smaller than the sum of its proper divisors (320697120).

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

136531680 is a wasteful number, since it uses less digits than its factorization.

136531680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 136531680 is about 11684.6771457324. The cubic root of 136531680 is about 514.9255932972.

The spelling of 136531680 in words is "one hundred thirty-six million, five hundred thirty-one thousand, six hundred eighty".