132795 has 24 divisors (see below), whose sum is σ = 248976. Its totient is φ = 65088.

The previous prime is 132763. The next prime is 132817. The reversal of 132795 is 597231.

132795 = 95² + 96² + ... + 107².

132795 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 132795 - 2⁵ = 132763 is a prime.

132795 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2¹³²⁷⁹⁵ is an apocalyptic number.

132795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132795 is a deficient number, since it is larger than the sum of its proper divisors (116181).

132795 is a wasteful number, since it uses less digits than its factorization.

132795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 132795 is about 364.4104828349. The cubic root of 132795 is about 51.0184477669.

The spelling of 132795 in words is "one hundred thirty-two thousand, seven hundred ninety-five".