133785864 has 64 divisors (see below), whose sum is σ = 374630400. Its totient is φ = 44235072.

The previous prime is 133785811. The next prime is 133785877. The reversal of 133785864 is 468587331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24994 + ... + 29870.

It is an arithmetic number, because the mean of its divisors is an integer number (5853600).

Almost surely, 2^133785864 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 133785864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187315200).

133785864 is an abundant number, since it is smaller than the sum of its proper divisors (240844536).

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

133785864 is a wasteful number, since it uses less digits than its factorization.

133785864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5009 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 133785864 is about 11566.5839382248. The cubic root of 133785864 is about 511.4502664900.

The spelling of 133785864 in words is "one hundred thirty-three million, seven hundred eighty-five thousand, eight hundred sixty-four".