Search a number
-
+
132135 = 3523383
BaseRepresentation
bin100000010000100111
320201020220
4200100213
513212020
62455423
71060143
oct402047
9221226
10132135
1190303
1264573
13481b3
1436223
1529240
hex20427

132135 has 16 divisors (see below), whose sum is σ = 221184. Its totient is φ = 67232.

The previous prime is 132113. The next prime is 132137. The reversal of 132135 is 531231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132135 - 25 = 132103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132137) 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, 154 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2132135 is an apocalyptic number.

132135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132135 is a deficient number, since it is larger than the sum of its proper divisors (89049).

132135 is a wasteful number, since it uses less digits than its factorization.

132135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414.

The product of its digits is 90, while the sum is 15.

The square root of 132135 is about 363.5037826488. The cubic root of 132135 is about 50.9337856576.

Adding to 132135 its reverse (531231), we get a palindrome (663366).

The spelling of 132135 in words is "one hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 15 23 69 115 345 383 1149 1915 5745 8809 26427 44045 132135