133192 has 8 divisors (see below), whose sum is σ = 249750. Its totient is φ = 66592.

The previous prime is 133187. The next prime is 133201. The reversal of 133192 is 291331.

It can be written as a sum of positive squares in only one way, i.e., 98596 + 34596 = 314^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 14.

It is an unprimeable number.

133192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8317 + ... + 8332.

2¹³³¹⁹² is an apocalyptic number.

It is an amenable number.

133192 is a deficient number, since it is larger than the sum of its proper divisors (116558).

133192 is a wasteful number, since it uses less digits than its factorization.

133192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16655 (or 16651 counting only the distinct ones).

The product of its digits is 162, while the sum is 19.

The square root of 133192 is about 364.9547917208. The cubic root of 133192 is about 51.0692382668.

It can be divided in two parts, 133 and 192, that added together give a triangular number (325 = T₂₅).

The spelling of 133192 in words is "one hundred thirty-three thousand, one hundred ninety-two".