135048480 has 96 divisors (see below), whose sum is σ = 486186624. Its totient is φ = 30867456.

The previous prime is 135048457. The next prime is 135048497. The reversal of 135048480 is 84840531.

135048480 = 1433² + 1434² + ... + 1495².

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16737 + ... + 23456.

It is an arithmetic number, because the mean of its divisors is an integer number (5064444).

Almost surely, 2^135048480 is an apocalyptic number.

135048480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135048480 is an abundant number, since it is smaller than the sum of its proper divisors (351138144).

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

135048480 is a wasteful number, since it uses less digits than its factorization.

135048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40218 (or 40210 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 135048480 is about 11621.0360983864. The cubic root of 135048480 is about 513.0541837900.

The spelling of 135048480 in words is "one hundred thirty-five million, forty-eight thousand, four hundred eighty".