135705648 has 60 divisors (see below), whose sum is σ = 379637160. Its totient is φ = 41753088.

The previous prime is 135705641. The next prime is 135705653. The reversal of 135705648 is 846507531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (135705641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253 + ... + 16476.

It is an arithmetic number, because the mean of its divisors is an integer number (6327286).

Almost surely, 2^135705648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135705648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189818580).

135705648 is an abundant number, since it is smaller than the sum of its proper divisors (243931512).

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

135705648 is a wasteful number, since it uses less digits than its factorization.

135705648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16747 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 135705648 is about 11649.2767157451. The cubic root of 135705648 is about 513.8850394184.

The spelling of 135705648 in words is "one hundred thirty-five million, seven hundred five thousand, six hundred forty-eight".