135047808 has 96 divisors (see below), whose sum is σ = 444156960. Its totient is φ = 38582784.

The previous prime is 135047797. The next prime is 135047827. The reversal of 135047808 is 808740531.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310 + ... + 16437.

It is an arithmetic number, because the mean of its divisors is an integer number (4626635).

Almost surely, 2^135047808 is an apocalyptic number.

135047808 is a gapful number since it is divisible by the number (18) 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 135047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222078480).

135047808 is an abundant number, since it is smaller than the sum of its proper divisors (309109152).

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

135047808 is a wasteful number, since it uses less digits than its factorization.

135047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16759 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135047808 is about 11621.0071852658. The cubic root of 135047808 is about 513.0533328043.

It can be divided in two parts, 13504 and 7808, that added together give a palindrome (21312).

The spelling of 135047808 in words is "one hundred thirty-five million, forty-seven thousand, eight hundred eight".