135505480 has 48 divisors (see below), whose sum is σ = 335136060. Its totient is φ = 49272960.

The previous prime is 135505463. The next prime is 135505481. The reversal of 135505480 is 84505531.

It can be written as a sum of positive squares in 2 ways, for example, as 130370724 + 5134756 = 11418^2 + 2266^2 .

It is a super-2 number, since 2×135505480² = 36723470220060800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135505481) 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, 9159 + ... + 18838.

Almost surely, 2^135505480 is an apocalyptic number.

135505480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135505480 is an abundant number, since it is smaller than the sum of its proper divisors (199630580).

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

135505480 is a wasteful number, since it uses less digits than its factorization.

135505480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28030 (or 28015 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 135505480 is about 11640.6821105982. The cubic root of 135505480 is about 513.6322522068.

The spelling of 135505480 in words is "one hundred thirty-five million, five hundred five thousand, four hundred eighty".