131138 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 48384.

The previous prime is 131129. The next prime is 131143. The reversal of 131138 is 831131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4508 + ... + 4536.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹³¹¹³⁸ is an apocalyptic number.

131138 is a deficient number, since it is larger than the sum of its proper divisors (128062).

131138 is a wasteful number, since it uses less digits than its factorization.

131138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

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

The square root of 131138 is about 362.1298109794. The cubic root of 131138 is about 50.8053583122.

Adding to 131138 its reverse (831131), we get a palindrome (962269).

The spelling of 131138 in words is "one hundred thirty-one thousand, one hundred thirty-eight".