135321520 has 20 divisors (see below), whose sum is σ = 314622720. Its totient is φ = 54128576.

The previous prime is 135321463. The next prime is 135321521. The reversal of 135321520 is 25123531.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×135321520² = 36623827550220800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135321491 and 135321500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135321521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 845680 + ... + 845839.

It is an arithmetic number, because the mean of its divisors is an integer number (15731136).

Almost surely, 2^135321520 is an apocalyptic number.

135321520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135321520 is an abundant number, since it is smaller than the sum of its proper divisors (179301200).

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

135321520 is a wasteful number, since it uses less digits than its factorization.

135321520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691532 (or 1691526 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 135321520 is about 11632.7778281888. Note that the first 3 decimals coincide. The cubic root of 135321520 is about 513.3997140596.

The spelling of 135321520 in words is "one hundred thirty-five million, three hundred twenty-one thousand, five hundred twenty".