131064 has 32 divisors (see below), whose sum is σ = 337920. Its totient is φ = 42336.

The previous prime is 131063. The next prime is 131071. The reversal of 131064 is 460131.

131064 = T₁₇₇ + T₁₇₈ + ... + T₁₈₄.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

2¹³¹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168960).

131064 is an abundant number, since it is smaller than the sum of its proper divisors (206856).

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

131064 is a wasteful number, since it uses less digits than its factorization.

131064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131064 is about 362.0276232555. The cubic root of 131064 is about 50.7958001777.

Adding to 131064 its reverse (460131), we get a palindrome (591195).

The spelling of 131064 in words is "one hundred thirty-one thousand, sixty-four".