135316480 has 176 divisors, whose sum is σ = 371407680. Its totient is φ = 46891008.

The previous prime is 135316463. The next prime is 135316513. The reversal of 135316480 is 84613531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264587 + ... + 1264693.

Almost surely, 2^135316480 is an apocalyptic number.

135316480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185703840).

135316480 is an abundant number, since it is smaller than the sum of its proper divisors (236091200).

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

135316480 is a wasteful number, since it uses less digits than its factorization.

135316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 135316480 is about 11632.5611969162. The cubic root of 135316480 is about 513.3933401863.

The spelling of 135316480 in words is "one hundred thirty-five million, three hundred sixteen thousand, four hundred eighty".