135404900 has 54 divisors (see below), whose sum is σ = 303828210. Its totient is φ = 52377600.

The previous prime is 135404897. The next prime is 135404911. The reversal of 135404900 is 9404531.

135404900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 984064 + 134420836 = 992^2 + 11594^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135404900.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95396 + ... + 96804.

Almost surely, 2^135404900 is an apocalyptic number.

135404900 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 135404900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151914105).

135404900 is an abundant number, since it is smaller than the sum of its proper divisors (168423310).

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

135404900 is a wasteful number, since it uses less digits than its factorization.

135404900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 135404900 is about 11636.3611150565. The cubic root of 135404900 is about 513.5051382353.

The spelling of 135404900 in words is "one hundred thirty-five million, four hundred four thousand, nine hundred".