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132645 = 3537239
BaseRepresentation
bin100000011000100101
320201221210
4200120211
513221040
62502033
71061502
oct403045
9221853
10132645
1190727
1264919
13484b6
14364a9
1529480
hex20625

132645 has 16 divisors (see below), whose sum is σ = 218880. Its totient is φ = 68544.

The previous prime is 132637. The next prime is 132647. The reversal of 132645 is 546231.

It is a happy number.

It is not a de Polignac number, because 132645 - 23 = 132637 is a prime.

132645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

132645 is a Friedman number, since it can be written as (54-2-1)^3-6, using all its digits and the basic arithmetic operations.

2132645 is an apocalyptic number.

132645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132645 is a deficient number, since it is larger than the sum of its proper divisors (86235).

132645 is a wasteful number, since it uses less digits than its factorization.

132645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its digits is 720, while the sum is 21.

The square root of 132645 is about 364.2046128209. The cubic root of 132645 is about 50.9992310534. Note that the first 3 decimals are identical.

Adding to 132645 its reverse (546231), we get a palindrome (678876).

It can be divided in two parts, 132 and 645, that added together give a palindrome (777).

The spelling of 132645 in words is "one hundred thirty-two thousand, six hundred forty-five".

Divisors: 1 3 5 15 37 111 185 239 555 717 1195 3585 8843 26529 44215 132645