131810 has 24 divisors (see below), whose sum is σ = 277020. Its totient is φ = 45024.

The previous prime is 131797. The next prime is 131837. The reversal of 131810 is 18131.

131810 = T₁₂₅ + T₁₂₆ + ... + T₁₃₉.

It can be written as a sum of positive squares in 2 ways, for example, as 117649 + 14161 = 343^2 + 119^2 .

It is a super-2 number, since 2×131810² = 34747752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131810.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356 + ... + 624.

2¹³¹⁸¹⁰ is an apocalyptic number.

131810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131810 is an abundant number, since it is smaller than the sum of its proper divisors (145210).

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

131810 is a wasteful number, since it uses less digits than its factorization.

131810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 131810 is about 363.0564694369. The cubic root of 131810 is about 50.8919923639.

Adding to 131810 its reverse (18131), we get a palindrome (149941).

The spelling of 131810 in words is "one hundred thirty-one thousand, eight hundred ten".