133824117 has 32 divisors (see below), whose sum is σ = 211763200. Its totient is φ = 73560960.

The previous prime is 133824113. The next prime is 133824121. The reversal of 133824117 is 711428331.

It is an interprime number because it is at equal distance from previous prime (133824113) and next prime (133824121).

It is not a de Polignac number, because 133824117 - 2² = 133824113 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 (133824113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129033 + ... + 130065.

It is an arithmetic number, because the mean of its divisors is an integer number (6617600).

Almost surely, 2^133824117 is an apocalyptic number.

It is an amenable number.

133824117 is a deficient number, since it is larger than the sum of its proper divisors (77939083).

133824117 is a wasteful number, since it uses less digits than its factorization.

133824117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273.

The product of its digits is 4032, while the sum is 30.

The square root of 133824117 is about 11568.2374197628. The cubic root of 133824117 is about 511.4990076701.

The spelling of 133824117 in words is "one hundred thirty-three million, eight hundred twenty-four thousand, one hundred seventeen".