135116408 has 64 divisors (see below), whose sum is σ = 311040000. Its totient is φ = 53706240.

The previous prime is 135116407. The next prime is 135116411. The reversal of 135116408 is 804611531.

135116408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135116407) 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 15 ways as a sum of consecutive naturals, for example, 66593 + ... + 68591.

It is an arithmetic number, because the mean of its divisors is an integer number (4860000).

Almost surely, 2^135116408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135116408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520000).

135116408 is an abundant number, since it is smaller than the sum of its proper divisors (175923592).

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

135116408 is a wasteful number, since it uses less digits than its factorization.

135116408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 135116408 is about 11623.9583619351. The cubic root of 135116408 is about 513.1401897020.

Adding to 135116408 its reverse (804611531), we get a palindrome (939727939).

The spelling of 135116408 in words is "one hundred thirty-five million, one hundred sixteen thousand, four hundred eight".