133819 has 6 divisors (see below), whose sum is σ = 155724. Its totient is φ = 114660.

The previous prime is 133813. The next prime is 133831. The reversal of 133819 is 918331.

133819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133819 - 2³ = 133811 is a prime.

It is a super-2 number, since 2×133819² = 35815049522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133793 and 133802.

It is not an unprimeable number, because it can be changed into a prime (133811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1317 + ... + 1414.

It is an arithmetic number, because the mean of its divisors is an integer number (25954).

2¹³³⁸¹⁹ is an apocalyptic number.

133819 is a deficient number, since it is larger than the sum of its proper divisors (21905).

133819 is an equidigital number, since it uses as much as digits as its factorization.

133819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2738 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 133819 is about 365.8127936527. The cubic root of 133819 is about 51.1492488233.

The spelling of 133819 in words is "one hundred thirty-three thousand, eight hundred nineteen".