135308880 has 400 divisors, whose sum is σ = 568951680. Its totient is φ = 29113344.

The previous prime is 135308879. The next prime is 135308891. The reversal of 135308880 is 88803531.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 861762 + ... + 861918.

Almost surely, 2^135308880 is an apocalyptic number.

135308880 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 135308880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284475840).

135308880 is an abundant number, since it is smaller than the sum of its proper divisors (433642800).

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

135308880 is a wasteful number, since it uses less digits than its factorization.

135308880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135308880 is about 11632.2345230828. The cubic root of 135308880 is about 513.3837284907.

The spelling of 135308880 in words is "one hundred thirty-five million, three hundred eight thousand, eight hundred eighty".