135312380 has 48 divisors (see below), whose sum is σ = 326047680. Its totient is φ = 46207488.

The previous prime is 135312377. The next prime is 135312391. The reversal of 135312380 is 83213531.

135312380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35864 + ... + 39456.

It is an arithmetic number, because the mean of its divisors is an integer number (6792660).

Almost surely, 2^135312380 is an apocalyptic number.

135312380 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 135312380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163023840).

135312380 is an abundant number, since it is smaller than the sum of its proper divisors (190735300).

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

135312380 is a wasteful number, since it uses less digits than its factorization.

135312380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 135312380 is about 11632.3849661194. The cubic root of 135312380 is about 513.3881549742.

The spelling of 135312380 in words is "one hundred thirty-five million, three hundred twelve thousand, three hundred eighty".