135350320 has 80 divisors (see below), whose sum is σ = 361405440. Its totient is φ = 46179072.

The previous prime is 135350317. The next prime is 135350351. The reversal of 135350320 is 23053531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 135350291 and 135350300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146821 + ... + 147739.

It is an arithmetic number, because the mean of its divisors is an integer number (4517568).

Almost surely, 2^135350320 is an apocalyptic number.

135350320 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 135350320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180702720).

135350320 is an abundant number, since it is smaller than the sum of its proper divisors (226055120).

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

135350320 is a wasteful number, since it uses less digits than its factorization.

135350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 135350320 is about 11634.0156437921. The cubic root of 135350320 is about 513.4361331572.

The spelling of 135350320 in words is "one hundred thirty-five million, three hundred fifty thousand, three hundred twenty".