135303120 has 60 divisors (see below), whose sum is σ = 454395396. Its totient is φ = 36080640.

The previous prime is 135303101. The next prime is 135303121. The reversal of 135303120 is 21303531.

135303120 is a `hidden beast` number, since 1 + 353 + 0 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 101848464 = 5784^2 + 10092^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135303093 and 135303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135303121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93241 + ... + 94680.

Almost surely, 2^135303120 is an apocalyptic number.

135303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135303120 is an abundant number, since it is smaller than the sum of its proper divisors (319092276).

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

135303120 is a wasteful number, since it uses less digits than its factorization.

135303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187940 (or 187931 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135303120 is about 11631.9869325924. The cubic root of 135303120 is about 513.3764435975.

Adding to 135303120 its reverse (21303531), we get a palindrome (156606651).

The spelling of 135303120 in words is "one hundred thirty-five million, three hundred three thousand, one hundred twenty".