133206696 has 144 divisors (see below), whose sum is σ = 444555540. Its totient is φ = 35804160.

The previous prime is 133206691. The next prime is 133206709. The reversal of 133206696 is 696602331.

It can be written as a sum of positive squares in 2 ways, for example, as 125753796 + 7452900 = 11214^2 + 2730^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 133206696.

It is not an unprimeable number, because it can be changed into a prime (133206691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58866 + ... + 61086.

Almost surely, 2^133206696 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 133206696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222277770).

133206696 is an abundant number, since it is smaller than the sum of its proper divisors (311348844).

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

133206696 is a wasteful number, since it uses less digits than its factorization.

133206696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 133206696 is about 11541.5205237438. The cubic root of 133206696 is about 510.7111647248.

The spelling of 133206696 in words is "one hundred thirty-three million, two hundred six thousand, six hundred ninety-six".