131838 has 32 divisors (see below), whose sum is σ = 312576. Its totient is φ = 36288.

The previous prime is 131837. The next prime is 131839. The reversal of 131838 is 838131.

131838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131837) and next prime (131839).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (9768).

2¹³¹⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156288).

131838 is an abundant number, since it is smaller than the sum of its proper divisors (180738).

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

131838 is a wasteful number, since it uses less digits than its factorization.

131838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 576, while the sum is 24.

The square root of 131838 is about 363.0950288836. The cubic root of 131838 is about 50.8955957195.

Adding to 131838 its reverse (838131), we get a palindrome (969969).

It can be divided in two parts, 131 and 838, that added together give a palindrome (969).

The spelling of 131838 in words is "one hundred thirty-one thousand, eight hundred thirty-eight".