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138131 = 722819
BaseRepresentation
bin100001101110010011
321000110222
4201232103
513410011
62543255
71113500
oct415623
9230428
10138131
1194864
1267b2b
134ab46
14384a7
152addb
hex21b93

138131 has 6 divisors (see below), whose sum is σ = 160740. Its totient is φ = 118356.

The previous prime is 138113. The next prime is 138139. The reversal of 138131 is 131831.

138131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-138131 is a prime.

It is a super-2 number, since 2×1381312 = 38160346322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1361 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (26790).

2138131 is an apocalyptic number.

138131 is a deficient number, since it is larger than the sum of its proper divisors (22609).

138131 is an equidigital number, since it uses as much as digits as its factorization.

138131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2826 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 138131 is about 371.6597906688. The cubic root of 138131 is about 51.6928390926.

Adding to 138131 its reverse (131831), we get a palindrome (269962).

The spelling of 138131 in words is "one hundred thirty-eight thousand, one hundred thirty-one".

Divisors: 1 7 49 2819 19733 138131