135827280 has 280 divisors, whose sum is σ = 504992232. Its totient is φ = 33841152.

The previous prime is 135827269. The next prime is 135827299. The reversal of 135827280 is 82728531.

135827280 is a `hidden beast` number, since 1 + 3 + 582 + 72 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 103063104 = 5724^2 + 10152^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991372 + ... + 991508.

Almost surely, 2^135827280 is an apocalyptic number.

135827280 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 135827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252496116).

135827280 is an abundant number, since it is smaller than the sum of its proper divisors (369164952).

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

135827280 is a wasteful number, since it uses less digits than its factorization.

135827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135827280 is about 11654.4961281044. The cubic root of 135827280 is about 514.0385240648.

The spelling of 135827280 in words is "one hundred thirty-five million, eight hundred twenty-seven thousand, two hundred eighty".