135333846 has 72 divisors (see below), whose sum is σ = 315605160. Its totient is φ = 41893632.

The previous prime is 135333841. The next prime is 135333851. The reversal of 135333846 is 648333531.

It is an interprime number because it is at equal distance from previous prime (135333841) and next prime (135333851).

It is a super-3 number, since 3×135333846³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135333846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135333841) 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 35 ways as a sum of consecutive naturals, for example, 383206 + ... + 383558.

It is an arithmetic number, because the mean of its divisors is an integer number (4383405).

Almost surely, 2^135333846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135333846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157802580).

135333846 is an abundant number, since it is smaller than the sum of its proper divisors (180271314).

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

135333846 is a wasteful number, since it uses less digits than its factorization.

135333846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 135333846 is about 11633.3076121970. The cubic root of 135333846 is about 513.4153015600.

The spelling of 135333846 in words is "one hundred thirty-five million, three hundred thirty-three thousand, eight hundred forty-six".