96138 has 36 divisors (see below), whose sum is σ = 244530. Its totient is φ = 27216.

The previous prime is 96137. The next prime is 96149. The reversal of 96138 is 83169.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 21609 = 273^2 + 147^2 .

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (96137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 828 + ... + 936.

2⁹⁶¹³⁸ is an apocalyptic number.

96138 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122265).

96138 is an abundant number, since it is smaller than the sum of its proper divisors (148392).

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

96138 is a wasteful number, since it uses less digits than its factorization.

96138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 96138 is about 310.0612842649. The cubic root of 96138 is about 45.8104995537.

It can be divided in two parts, 961 and 38, that added together give a palindrome (999).

The spelling of 96138 in words is "ninety-six thousand, one hundred thirty-eight".