135810880 has 56 divisors (see below), whose sum is σ = 325343520. Its totient is φ = 53998080.

The previous prime is 135810877. The next prime is 135810893. The reversal of 135810880 is 88018531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56095 + ... + 58465.

Almost surely, 2^135810880 is an apocalyptic number.

135810880 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 135810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162671760).

135810880 is an abundant number, since it is smaller than the sum of its proper divisors (189532640).

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

135810880 is a wasteful number, since it uses less digits than its factorization.

135810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 135810880 is about 11653.7925157435. The cubic root of 135810880 is about 514.0178346247.

The spelling of 135810880 in words is "one hundred thirty-five million, eight hundred ten thousand, eight hundred eighty".