133886753 has 32 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 94628160.

The previous prime is 133886741. The next prime is 133886761. The reversal of 133886753 is 357688331.

It is not a de Polignac number, because 133886753 - 2⁸ = 133886497 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (133886773) 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 31 ways as a sum of consecutive naturals, for example, 57926 + ... + 60192.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^133886753 is an apocalyptic number.

133886753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133886753 is a deficient number, since it is larger than the sum of its proper divisors (49004767).

133886753 is a wasteful number, since it uses less digits than its factorization.

133886753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357.

The product of its digits is 362880, while the sum is 44.

The square root of 133886753 is about 11570.9443434838. The cubic root of 133886753 is about 511.5787971116.

The spelling of 133886753 in words is "one hundred thirty-three million, eight hundred eighty-six thousand, seven hundred fifty-three".