Search a number
-
+
131775 = 3527251
BaseRepresentation
bin100000001010111111
320200202120
4200022333
513204100
62454023
71056120
oct401277
9220676
10131775
1190006
1264313
1347c97
1436047
15290a0
hex202bf

131775 has 24 divisors (see below), whose sum is σ = 249984. Its totient is φ = 60000.

The previous prime is 131771. The next prime is 131777. The reversal of 131775 is 577131.

131775 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 131775 - 22 = 131771 is a prime.

It is a nude number because it is divisible by every one of its digits.

131775 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131771) 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, 400 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2131775 is an apocalyptic number.

131775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131775 is a deficient number, since it is larger than the sum of its proper divisors (118209).

131775 is a wasteful number, since it uses less digits than its factorization.

131775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 266 counting only the distinct ones).

The product of its digits is 735, while the sum is 24.

The square root of 131775 is about 363.0082643687. The cubic root of 131775 is about 50.8874874518.

The spelling of 131775 in words is "one hundred thirty-one thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 251 525 753 1255 1757 3765 5271 6275 8785 18825 26355 43925 131775