131035440 has 80 divisors (see below), whose sum is σ = 410018400. Its totient is φ = 34615296.

The previous prime is 131035409. The next prime is 131035441. The reversal of 131035440 is 44530131.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131035441) 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, 23656 + ... + 28664.

It is an arithmetic number, because the mean of its divisors is an integer number (5125230).

Almost surely, 2^131035440 is an apocalyptic number.

131035440 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 131035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205009200).

131035440 is an abundant number, since it is smaller than the sum of its proper divisors (278982960).

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

131035440 is a wasteful number, since it uses less digits than its factorization.

131035440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131035440 is about 11447.0712411516. The cubic root of 131035440 is about 507.9211029228.

Adding to 131035440 its reverse (44530131), we get a palindrome (175565571).

The spelling of 131035440 in words is "one hundred thirty-one million, thirty-five thousand, four hundred forty".