135604116 has 72 divisors (see below), whose sum is σ = 356963880. Its totient is φ = 43352064.

The previous prime is 135604111. The next prime is 135604127. The reversal of 135604116 is 611406531.

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 131194116 = 2100^2 + 11454^2 .

It is a super-2 number, since 2×135604116² = 36776952552282912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135604116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135604111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201156 + ... + 201828.

Almost surely, 2^135604116 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 135604116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178481940).

135604116 is an abundant number, since it is smaller than the sum of its proper divisors (221359764).

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

135604116 is a wasteful number, since it uses less digits than its factorization.

135604116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135604116 is about 11644.9180332023. The cubic root of 135604116 is about 513.7568482579.

The spelling of 135604116 in words is "one hundred thirty-five million, six hundred four thousand, one hundred sixteen".