135305880 has 128 divisors (see below), whose sum is σ = 427680000. Its totient is φ = 34194944.

The previous prime is 135305867. The next prime is 135305881. The reversal of 135305880 is 88503531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135305881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204991 + ... + 205649.

It is an arithmetic number, because the mean of its divisors is an integer number (3341250).

Almost surely, 2^135305880 is an apocalyptic number.

135305880 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 135305880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213840000).

135305880 is an abundant number, since it is smaller than the sum of its proper divisors (292374120).

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

135305880 is a wasteful number, since it uses less digits than its factorization.

135305880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 135305880 is about 11632.1055703600. The cubic root of 135305880 is about 513.3799343013.

The spelling of 135305880 in words is "one hundred thirty-five million, three hundred five thousand, eight hundred eighty".