135909900 has 432 divisors, whose sum is σ = 545965056. Its totient is φ = 28615680.

The previous prime is 135909887. The next prime is 135909911. The reversal of 135909900 is 9909531.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 2891677 + ... + 2891723.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^135909900 is an apocalyptic number.

135909900 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 135909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

135909900 is an abundant number, since it is smaller than the sum of its proper divisors (410055156).

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

135909900 is a wasteful number, since it uses less digits than its factorization.

135909900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 135909900 is about 11658.0401440379. The cubic root of 135909900 is about 514.1427281066.

The spelling of 135909900 in words is "one hundred thirty-five million, nine hundred nine thousand, nine hundred".