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9138 = 231523

9138 has 8 divisors (see below), whose sum is σ = 18288. Its totient is φ = 3044.

The previous prime is 9137. The next prime is 9151. The reversal of 9138 is 8319.

9138 = T2 + T3 + ... + T37.

9138 is nontrivially palindromic in base 4.

9138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

9138 is an admirable number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (9133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 756 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (2286).

29138 is an apocalyptic number.

9138 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144).

9138 is a wasteful number, since it uses less digits than its factorization.

9138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528.

The product of its digits is 216, while the sum is 21.

The square root of 9138 is about 95.5928867647. The cubic root of 9138 is about 20.9066148182.

The spelling of 9138 in words is "nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 1523 3046 4569 9138