133767 has 12 divisors (see below), whose sum is σ = 196560. Its totient is φ = 87648.

The previous prime is 133733. The next prime is 133769. The reversal of 133767 is 767331.

It is not a de Polignac number, because 133767 - 2¹² = 129671 is a prime.

It is a super-2 number, since 2×133767² = 35787220578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133769) 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, 718 + ... + 884.

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

2¹³³⁷⁶⁷ is an apocalyptic number.

133767 is a deficient number, since it is larger than the sum of its proper divisors (62793).

133767 is a wasteful number, since it uses less digits than its factorization.

133767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 259 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 133767 is about 365.7417121412. The cubic root of 133767 is about 51.1426226951.

It can be divided in two parts, 133 and 767, that added together give a square (900 = 30²).

The spelling of 133767 in words is "one hundred thirty-three thousand, seven hundred sixty-seven".