135805248 has 280 divisors, whose sum is σ = 451420992. Its totient is φ = 40144896.

The previous prime is 135805237. The next prime is 135805253. The reversal of 135805248 is 842508531.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 2026911 + ... + 2026977.

Almost surely, 2^135805248 is an apocalyptic number.

135805248 is a gapful number since it is divisible by the number (18) 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 135805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225710496).

135805248 is an abundant number, since it is smaller than the sum of its proper divisors (315615744).

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

135805248 is a wasteful number, since it uses less digits than its factorization.

135805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 135805248 is about 11653.5508751625. The cubic root of 135805248 is about 514.0107291840.

The spelling of 135805248 in words is "one hundred thirty-five million, eight hundred five thousand, two hundred forty-eight".