133733712 has 80 divisors (see below), whose sum is σ = 396085760. Its totient is φ = 38088576.

The previous prime is 133733711. The next prime is 133733731. The reversal of 133733712 is 217337331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133733712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133733711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207663 + ... + 208305.

It is an arithmetic number, because the mean of its divisors is an integer number (4951072).

Almost surely, 2^133733712 is an apocalyptic number.

133733712 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 133733712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198042880).

133733712 is an abundant number, since it is smaller than the sum of its proper divisors (262352048).

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

133733712 is a wasteful number, since it uses less digits than its factorization.

133733712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its digits is 7938, while the sum is 30.

The square root of 133733712 is about 11564.3292931324. The cubic root of 133733712 is about 511.3838005219.

The spelling of 133733712 in words is "one hundred thirty-three million, seven hundred thirty-three thousand, seven hundred twelve".