135505380 has 48 divisors (see below), whose sum is σ = 381124800. Its totient is φ = 35971968.

The previous prime is 135505379. The next prime is 135505393. The reversal of 135505380 is 83505531.

135505380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8646 + ... + 18594.

It is an arithmetic number, because the mean of its divisors is an integer number (7940100).

Almost surely, 2^135505380 is an apocalyptic number.

135505380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135505380 is an abundant number, since it is smaller than the sum of its proper divisors (245619420).

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

135505380 is a wasteful number, since it uses less digits than its factorization.

135505380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 135505380 is about 11640.6778153164. The cubic root of 135505380 is about 513.6321258571.

It can be divided in two parts, 135 and 505380, that added together give a triangular number (505515 = T₁₀₀₅).

The spelling of 135505380 in words is "one hundred thirty-five million, five hundred five thousand, three hundred eighty".