135735300 has 108 divisors (see below), whose sum is σ = 431996656. Its totient is φ = 35640000.

The previous prime is 135735287. The next prime is 135735311. The reversal of 135735300 is 3537531.

135735300 is a `hidden beast` number, since 1 + 357 + 3 + 5 + 300 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59175 + ... + 61425.

Almost surely, 2^135735300 is an apocalyptic number.

135735300 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 135735300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215998328).

135735300 is an abundant number, since it is smaller than the sum of its proper divisors (296261356).

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

135735300 is a wasteful number, since it uses less digits than its factorization.

135735300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 135735300 is about 11650.5493432713. The cubic root of 135735300 is about 513.9224650518.

The spelling of 135735300 in words is "one hundred thirty-five million, seven hundred thirty-five thousand, three hundred".