133691652 has 72 divisors (see below), whose sum is σ = 352923480. Its totient is φ = 42631680.

The previous prime is 133691647. The next prime is 133691659. The reversal of 133691652 is 256196331.

It can be written as a sum of positive squares in 4 ways, for example, as 427716 + 133263936 = 654^2 + 11544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (133691659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77374 + ... + 79082.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^133691652 is an apocalyptic number.

133691652 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 133691652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176461740).

133691652 is an abundant number, since it is smaller than the sum of its proper divisors (219231828).

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

133691652 is a wasteful number, since it uses less digits than its factorization.

133691652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1808 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 133691652 is about 11562.5106270221. The cubic root of 133691652 is about 511.3301838793.

The spelling of 133691652 in words is "one hundred thirty-three million, six hundred ninety-one thousand, six hundred fifty-two".