133105864 has 32 divisors (see below), whose sum is σ = 255357720. Its totient is φ = 65028096.

The previous prime is 133105859. The next prime is 133105867. The reversal of 133105864 is 468501331.

It can be written as a sum of positive squares in 4 ways, for example, as 103184964 + 29920900 = 10158^2 + 5470^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (133105867) 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, 64984 + ... + 67000.

Almost surely, 2^133105864 is an apocalyptic number.

It is an amenable number.

133105864 is a deficient number, since it is larger than the sum of its proper divisors (122251856).

133105864 is a wasteful number, since it uses less digits than its factorization.

133105864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 133105864 is about 11537.1514681918. The cubic root of 133105864 is about 510.5822697352.

The spelling of 133105864 in words is "one hundred thirty-three million, one hundred five thousand, eight hundred sixty-four".