135933864 has 128 divisors (see below), whose sum is σ = 394260480. Its totient is φ = 38649600.

The previous prime is 135933859. The next prime is 135933869. The reversal of 135933864 is 468339531.

It is an interprime number because it is at equal distance from previous prime (135933859) and next prime (135933869).

It is not an unprimeable number, because it can be changed into a prime (135933869) 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, 370209 + ... + 370575.

It is an arithmetic number, because the mean of its divisors is an integer number (3080160).

Almost surely, 2^135933864 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 135933864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

135933864 is an abundant number, since it is smaller than the sum of its proper divisors (258326616).

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

135933864 is a wasteful number, since it uses less digits than its factorization.

135933864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 135933864 is about 11659.0678872713. The cubic root of 135933864 is about 514.1729446747.

The spelling of 135933864 in words is "one hundred thirty-five million, nine hundred thirty-three thousand, eight hundred sixty-four".