133788312 has 96 divisors (see below), whose sum is σ = 427514880. Its totient is φ = 36987840.

The previous prime is 133788307. The next prime is 133788331. The reversal of 133788312 is 213887331.

133788312 is a `hidden beast` number, since 1 + 337 + 8 + 8 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11343 + ... + 19905.

It is an arithmetic number, because the mean of its divisors is an integer number (4453280).

Almost surely, 2^133788312 is an apocalyptic number.

133788312 is a gapful number since it is divisible by the number (12) 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 133788312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213757440).

133788312 is an abundant number, since it is smaller than the sum of its proper divisors (293726568).

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

133788312 is a wasteful number, since it uses less digits than its factorization.

133788312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8613 (or 8606 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 133788312 is about 11566.6897598232. The cubic root of 133788312 is about 511.4533859592.

The spelling of 133788312 in words is "one hundred thirty-three million, seven hundred eighty-eight thousand, three hundred twelve".