132345 has 24 divisors (see below), whose sum is σ = 244296. Its totient is φ = 66048.

The previous prime is 132331. The next prime is 132347. The reversal of 132345 is 543231.

It can be written as a sum of positive squares in 4 ways, for example, as 56169 + 76176 = 237^2 + 276^2 .

It is not a de Polignac number, because 132345 - 2⁴ = 132329 is a prime.

132345 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (10179).

2¹³²³⁴⁵ is an apocalyptic number.

132345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132345 is a deficient number, since it is larger than the sum of its proper divisors (111951).

132345 is a wasteful number, since it uses less digits than its factorization.

132345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 132345 is about 363.7925232877. The cubic root of 132345 is about 50.9607541207.

Adding to 132345 its reverse (543231), we get a palindrome (675576).

The spelling of 132345 in words is "one hundred thirty-two thousand, three hundred forty-five".