131610 has 32 divisors (see below), whose sum is σ = 326592. Its totient is φ = 33920.

The previous prime is 131591. The next prime is 131611. The reversal of 131610 is 16131.

It is not an unprimeable number, because it can be changed into a prime (131611) by changing a digit.

131610 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177 + ... + 1283.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2¹³¹⁶¹⁰ is an apocalyptic number.

131610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

131610 is an abundant number, since it is smaller than the sum of its proper divisors (194982).

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

131610 is a wasteful number, since it uses less digits than its factorization.

131610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131610 is about 362.7809256287. The cubic root of 131610 is about 50.8662392576.

Adding to 131610 its reverse (16131), we get a palindrome (147741).

It can be divided in two parts, 1316 and 10, that added together give a triangular number (1326 = T₅₁).

The spelling of 131610 in words is "one hundred thirty-one thousand, six hundred ten".