133785344 has 108 divisors (see below), whose sum is σ = 336009072. Its totient is φ = 52039680.

The previous prime is 133785343. The next prime is 133785397. The reversal of 133785344 is 443587331.

It is a junction number, because it is equal to n+sod(n) for n = 133785298 and 133785307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133785343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216524 + ... + 217140.

Almost surely, 2^133785344 is an apocalyptic number.

133785344 is a gapful number since it is divisible by the number (14) 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 133785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168004536).

133785344 is an abundant number, since it is smaller than the sum of its proper divisors (202223728).

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

133785344 is an equidigital number, since it uses as much as digits as its factorization.

133785344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 637 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 133785344 is about 11566.5614596560. The cubic root of 133785344 is about 511.4496038528.

The spelling of 133785344 in words is "one hundred thirty-three million, seven hundred eighty-five thousand, three hundred forty-four".