133766117 has 8 divisors (see below), whose sum is σ = 137644920. Its totient is φ = 129937600.

The previous prime is 133766111. The next prime is 133766131. The reversal of 133766117 is 711667331.

It can be written as a sum of positive squares in 4 ways, for example, as 112550881 + 21215236 = 10609^2 + 4606^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133766117 - 2⁶ = 133766053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133766111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7142 + ... + 17847.

It is an arithmetic number, because the mean of its divisors is an integer number (17205615).

Almost surely, 2^133766117 is an apocalyptic number.

It is an amenable number.

133766117 is a deficient number, since it is larger than the sum of its proper divisors (3878803).

133766117 is a wasteful number, since it uses less digits than its factorization.

133766117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25143.

The product of its digits is 15876, while the sum is 35.

The square root of 133766117 is about 11565.7302839034. The cubic root of 133766117 is about 511.4251016356.

The spelling of 133766117 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, one hundred seventeen".