135480735 has 128 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 59222016.

The previous prime is 135480733. The next prime is 135480739. The reversal of 135480735 is 537084531.

It is not a de Polignac number, because 135480735 - 2¹ = 135480733 is a prime.

It is a super-2 number, since 2×135480735² = 36710059112280450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135480735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135480731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 566746 + ... + 566984.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^135480735 is an apocalyptic number.

135480735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135480735 is an abundant number, since it is smaller than the sum of its proper divisors (154823265).

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

135480735 is a wasteful number, since it uses less digits than its factorization.

135480735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135480735 is about 11639.6191948019. The cubic root of 135480735 is about 513.6009850732.

The spelling of 135480735 in words is "one hundred thirty-five million, four hundred eighty thousand, seven hundred thirty-five".