135904608 has 192 divisors, whose sum is σ = 473195520. Its totient is φ = 37103616.

The previous prime is 135904607. The next prime is 135904619. The reversal of 135904608 is 806409531.

135904608 is a `hidden beast` number, since 1 + 3 + 590 + 4 + 60 + 8 = 666.

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 (135904607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138616 + ... + 139592.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 2^135904608 is an apocalyptic number.

135904608 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 135904608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236597760).

135904608 is an abundant number, since it is smaller than the sum of its proper divisors (337290912).

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

135904608 is a wasteful number, since it uses less digits than its factorization.

135904608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135904608 is about 11657.8131740048. The cubic root of 135904608 is about 514.1360548654.

The spelling of 135904608 in words is "one hundred thirty-five million, nine hundred four thousand, six hundred eight".