135364320 has 288 divisors, whose sum is σ = 569080512. Its totient is φ = 28532736.

The previous prime is 135364291. The next prime is 135364331. The reversal of 135364320 is 23463531.

It is a happy number.

135364320 is a `hidden beast` number, since 13 + 5 + 3 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130524 + ... + 131556.

It is an arithmetic number, because the mean of its divisors is an integer number (1975974).

Almost surely, 2^135364320 is an apocalyptic number.

135364320 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 135364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284540256).

135364320 is an abundant number, since it is smaller than the sum of its proper divisors (433716192).

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

135364320 is a wasteful number, since it uses less digits than its factorization.

135364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135364320 is about 11634.6173121422. The cubic root of 135364320 is about 513.4538350192.

The spelling of 135364320 in words is "one hundred thirty-five million, three hundred sixty-four thousand, three hundred twenty".