133782 has 16 divisors (see below), whose sum is σ = 292032. Its totient is φ = 40520.

The previous prime is 133781. The next prime is 133801. The reversal of 133782 is 287331.

It is a d-powerful number, because it can be written as 1 + 3 + 7 + 3⁷ + 8³ + 2¹⁷ .

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133782.

It is not an unprimeable number, because it can be changed into a prime (133781) 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 7 ways as a sum of consecutive naturals, for example, 948 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (18252).

2¹³³⁷⁸² is an apocalyptic number.

133782 is an abundant number, since it is smaller than the sum of its proper divisors (158250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133782 is a wasteful number, since it uses less digits than its factorization.

133782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043.

The product of its digits is 1008, while the sum is 24.

The square root of 133782 is about 365.7622178410. The cubic root of 133782 is about 51.1445342545.

The spelling of 133782 in words is "one hundred thirty-three thousand, seven hundred eighty-two".