135298800 has 540 divisors, whose sum is σ = 598164840. Its totient is φ = 28062720.

The previous prime is 135298799. The next prime is 135298873. The reversal of 135298800 is 8892531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2293171 + ... + 2293229.

Almost surely, 2^135298800 is an apocalyptic number.

135298800 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 135298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299082420).

135298800 is an abundant number, since it is smaller than the sum of its proper divisors (462866040).

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

135298800 is a wasteful number, since it uses less digits than its factorization.

135298800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 135298800 is about 11631.8012362660. The cubic root of 135298800 is about 513.3709797918.

The spelling of 135298800 in words is "one hundred thirty-five million, two hundred ninety-eight thousand, eight hundred".