135208100 has 36 divisors (see below), whose sum is σ = 296272704. Its totient is φ = 53554080.

The previous prime is 135208097. The next prime is 135208109. The reversal of 135208100 is 1802531.

135208100 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 2×135208100² = 36562460611220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (135208109) 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 11 ways as a sum of consecutive naturals, for example, 3737 + ... + 16863.

Almost surely, 2^135208100 is an apocalyptic number.

135208100 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 135208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148136352).

135208100 is an abundant number, since it is smaller than the sum of its proper divisors (161064604).

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

135208100 is a wasteful number, since it uses less digits than its factorization.

135208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 135208100 is about 11627.9017883709. The cubic root of 135208100 is about 513.2562383049.

The spelling of 135208100 in words is "one hundred thirty-five million, two hundred eight thousand, one hundred".