135418320 has 180 divisors, whose sum is σ = 480896676. Its totient is φ = 34145280.

The previous prime is 135418307. The next prime is 135418321. The reversal of 135418320 is 23814531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 91699776 = 6612^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135418321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259660 + ... + 260180.

Almost surely, 2^135418320 is an apocalyptic number.

135418320 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 135418320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240448338).

135418320 is an abundant number, since it is smaller than the sum of its proper divisors (345478356).

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

135418320 is a wasteful number, since it uses less digits than its factorization.

135418320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135418320 is about 11636.9377415195. The cubic root of 135418320 is about 513.5221021987.

The spelling of 135418320 in words is "one hundred thirty-five million, four hundred eighteen thousand, three hundred twenty".