133905 has 16 divisors (see below), whose sum is σ = 218880. Its totient is φ = 69888.

The previous prime is 133877. The next prime is 133919. The reversal of 133905 is 509331.

It is not a de Polignac number, because 133905 - 2⁵ = 133873 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹³³⁹⁰⁵ is an apocalyptic number.

133905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133905 is a deficient number, since it is larger than the sum of its proper divisors (84975).

133905 is a wasteful number, since it uses less digits than its factorization.

133905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 133905 is about 365.9303212362. The cubic root of 133905 is about 51.1602036539.

The spelling of 133905 in words is "one hundred thirty-three thousand, nine hundred five".