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131144 = 2313297
BaseRepresentation
bin100000000001001000
320122220012
4200001020
513144034
62451052
71054226
oct400110
9218805
10131144
118a592
1263a88
1347900
1435b16
1528cce
hex20048

131144 has 24 divisors (see below), whose sum is σ = 269010. Its totient is φ = 59904.

The previous prime is 131143. The next prime is 131149. The reversal of 131144 is 441131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 62500 + 68644 = 250^2 + 262^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131144.

It is not an unprimeable number, because it can be changed into a prime (131143) 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 5 ways as a sum of consecutive naturals, for example, 1304 + ... + 1400.

2131144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134505).

131144 is an abundant number, since it is smaller than the sum of its proper divisors (137866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131144 is a wasteful number, since it uses less digits than its factorization.

131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 131144 is about 362.1380952068. The cubic root of 131144 is about 50.8061331384.

Adding to 131144 its reverse (441131), we get a palindrome (572275).

The spelling of 131144 in words is "one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 97 104 169 194 338 388 676 776 1261 1352 2522 5044 10088 16393 32786 65572 131144