135267384 has 128 divisors (see below), whose sum is σ = 420249600. Its totient is φ = 35406720.

The previous prime is 135267383. The next prime is 135267389. The reversal of 135267384 is 483762531.

135267384 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 not an unprimeable number, because it can be changed into a prime (135267383) 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, 98269 + ... + 99635.

It is an arithmetic number, because the mean of its divisors is an integer number (3283200).

Almost surely, 2^135267384 is an apocalyptic number.

135267384 is a gapful number since it is divisible by the number (14) 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 135267384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210124800).

135267384 is an abundant number, since it is smaller than the sum of its proper divisors (284982216).

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

135267384 is a wasteful number, since it uses less digits than its factorization.

135267384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1429 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 135267384 is about 11630.4507221345. The cubic root of 135267384 is about 513.3312422845.

It can be divided in two parts, 13526 and 7384, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 135267384 in words is "one hundred thirty-five million, two hundred sixty-seven thousand, three hundred eighty-four".