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131137 = 711847
BaseRepresentation
bin100000000001000001
320122212221
4200001001
513144022
62451041
71054216
oct400101
9218787
10131137
118a586
1263a81
13478c6
1435b0d
1528cc7
hex20041

131137 has 4 divisors (see below), whose sum is σ = 133056. Its totient is φ = 129220.

The previous prime is 131129. The next prime is 131143. The reversal of 131137 is 731131.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 731131 = 1076833.

It is not a de Polignac number, because 131137 - 23 = 131129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131137.

It is not an unprimeable number, because it can be changed into a prime (131437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 853 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2131137 is an apocalyptic number.

It is an amenable number.

131137 is a deficient number, since it is larger than the sum of its proper divisors (1919).

131137 is an equidigital number, since it uses as much as digits as its factorization.

131137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918.

The product of its digits is 63, while the sum is 16.

The square root of 131137 is about 362.1284302564. The cubic root of 131137 is about 50.8052291722.

Adding to 131137 its reverse (731131), we get a palindrome (862268).

The spelling of 131137 in words is "one hundred thirty-one thousand, one hundred thirty-seven".

Divisors: 1 71 1847 131137