133857 has 12 divisors (see below), whose sum is σ = 196560. Its totient is φ = 87768.

The previous prime is 133853. The next prime is 133873. The reversal of 133857 is 758331.

133857 is an anti-perfect number.

It is not a de Polignac number, because 133857 - 2^{2} = 133853 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

133857 is a Rhonda number in base 10.

Its product of digits (2520) is a multiple of the sum of its prime factors (252).

133857 is a lucky number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 133857.

It is not an unprimeable number, because it can be changed into a prime (133853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2^{133857} is an apocalyptic number.

It is an amenable number.

133857 is a deficient number, since it is larger than the sum of its proper divisors (62703).

133857 is a wasteful number, since it uses less digits than its factorization.

133857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 133857 is about 365.8647291008. The cubic root of 133857 is about 51.1540899084.

It can be divided in two parts, 133 and 857, that added together give a triangular number (990 = T_{44}).

The spelling of 133857 in words is "one hundred thirty-three thousand, eight hundred fifty-seven".

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