135833568 has 96 divisors (see below), whose sum is σ = 396490752. Its totient is φ = 40435200.

The previous prime is 135833563. The next prime is 135833569. The reversal of 135833568 is 865338531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×135833568² = 36901516391221248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135833563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36933 + ... + 40443.

It is an arithmetic number, because the mean of its divisors is an integer number (4130112).

Almost surely, 2^135833568 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 135833568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198245376).

135833568 is an abundant number, since it is smaller than the sum of its proper divisors (260657184).

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

135833568 is a wasteful number, since it uses less digits than its factorization.

135833568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3560 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 135833568 is about 11654.7658921147. The cubic root of 135833568 is about 514.0464562572.

The spelling of 135833568 in words is "one hundred thirty-five million, eight hundred thirty-three thousand, five hundred sixty-eight".