131040 has 144 divisors (see below), whose sum is σ = 550368. Its totient is φ = 27648.

The previous prime is 131023. The next prime is 131041. The reversal of 131040 is 40131.

131040 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 (131041) by changing a digit.

131040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10074 + ... + 10086.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2¹³¹⁰⁴⁰ is an apocalyptic number.

131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

131040 is an abundant number, since it is smaller than the sum of its proper divisors (419328).

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

131040 is a wasteful number, since it uses less digits than its factorization.

131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131040 is about 361.9944750960. The cubic root of 131040 is about 50.7926994696.

Adding to 131040 its reverse (40131), we get a palindrome (171171).

Subtracting from 131040 its reverse (40131), we obtain a palindrome (90909).

The spelling of 131040 in words is "one hundred thirty-one thousand, forty".