136065280 has 216 divisors, whose sum is σ = 383777352. Its totient is φ = 46006272.

The previous prime is 136065253. The next prime is 136065301. The reversal of 136065280 is 82560631.

It can be written as a sum of positive squares in 12 ways, for example, as 28901376 + 107163904 = 5376^2 + 10352^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3677422 + ... + 3677458.

It is an arithmetic number, because the mean of its divisors is an integer number (1776747).

Almost surely, 2^136065280 is an apocalyptic number.

136065280 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 136065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191888676).

136065280 is an abundant number, since it is smaller than the sum of its proper divisors (247712072).

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

136065280 is a wasteful number, since it uses less digits than its factorization.

136065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 136065280 is about 11664.7023108179. The cubic root of 136065280 is about 514.3385859811.

The spelling of 136065280 in words is "one hundred thirty-six million, sixty-five thousand, two hundred eighty".