135505080 has 96 divisors (see below), whose sum is σ = 444422160. Its totient is φ = 35804160.

The previous prime is 135505067. The next prime is 135505087. The reversal of 135505080 is 80505531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135505087) 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, 39015 + ... + 42345.

Almost surely, 2^135505080 is an apocalyptic number.

135505080 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 135505080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222211080).

135505080 is an abundant number, since it is smaller than the sum of its proper divisors (308917080).

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

135505080 is a wasteful number, since it uses less digits than its factorization.

135505080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 135505080 is about 11640.6649294617. The cubic root of 135505080 is about 513.6317468075.

The spelling of 135505080 in words is "one hundred thirty-five million, five hundred five thousand, eighty".