135652608 has 216 divisors, whose sum is σ = 482122368. Its totient is φ = 35721216.

The previous prime is 135652607. The next prime is 135652663. The reversal of 135652608 is 806256531.

It is a Cunningham number, because it is equal to 11647²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135652603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209341 + ... + 209987.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^135652608 is an apocalyptic number.

135652608 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 135652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241061184).

135652608 is an abundant number, since it is smaller than the sum of its proper divisors (346469760).

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

135652608 is a wasteful number, since it uses less digits than its factorization.

135652608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135652608 is about 11646.9999570705. Note that the first 4 decimals coincide. The cubic root of 135652608 is about 513.8180807357.

The spelling of 135652608 in words is "one hundred thirty-five million, six hundred fifty-two thousand, six hundred eight".