131145 has 16 divisors (see below), whose sum is σ = 240000. Its totient is φ = 59904.

The previous prime is 131143. The next prime is 131149. The reversal of 131145 is 541131.

It is not a de Polignac number, because 131145 - 2¹ = 131143 is a prime.

It is a super-2 number, since 2×131145² = 34398022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

131145 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (131143) 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, 520 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

2¹³¹¹⁴⁵ is an apocalyptic number.

131145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131145 is a deficient number, since it is larger than the sum of its proper divisors (108855).

131145 is a wasteful number, since it uses less digits than its factorization.

131145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264.

The product of its digits is 60, while the sum is 15.

The square root of 131145 is about 362.1394758929. The cubic root of 131145 is about 50.8062622739.

Adding to 131145 its reverse (541131), we get a palindrome (672276).

It can be divided in two parts, 131 and 145, that added together give a triangular number (276 = T₂₃).

The spelling of 131145 in words is "one hundred thirty-one thousand, one hundred forty-five".