135808100 has 72 divisors (see below), whose sum is σ = 310480128. Its totient is φ = 51462400.

The previous prime is 135808009. The next prime is 135808103. The reversal of 135808100 is 1808531.

135808100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135808100² = 36887680051220000, 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 135808100.

It is not an unprimeable number, because it can be changed into a prime (135808103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314885 + ... + 315315.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2^135808100 is an apocalyptic number.

135808100 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 135808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155240064).

135808100 is an abundant number, since it is smaller than the sum of its proper divisors (174672028).

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

135808100 is a wasteful number, since it uses less digits than its factorization.

135808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 135808100 is about 11653.6732406568. The cubic root of 135808100 is about 514.0143273472.

The spelling of 135808100 in words is "one hundred thirty-five million, eight hundred eight thousand, one hundred".