136540080 has 200 divisors, whose sum is σ = 499633200. Its totient is φ = 34463232.

The previous prime is 136540009. The next prime is 136540087. The reversal of 136540080 is 80045631.

136540080 is a `hidden beast` number, since 1 + 3 + 654 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136540087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122566 + ... + 123674.

It is an arithmetic number, because the mean of its divisors is an integer number (2498166).

Almost surely, 2^136540080 is an apocalyptic number.

136540080 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 136540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249816600).

136540080 is an abundant number, since it is smaller than the sum of its proper divisors (363093120).

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

136540080 is a wasteful number, since it uses less digits than its factorization.

136540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 136540080 is about 11685.0365853086. The cubic root of 136540080 is about 514.9361532060.

The spelling of 136540080 in words is "one hundred thirty-six million, five hundred forty thousand, eighty".