131127360 has 448 divisors, whose sum is σ = 546201600. Its totient is φ = 25878528.

The previous prime is 131127317. The next prime is 131127361. The reversal of 131127360 is 63721131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131127360.

It is not an unprimeable number, because it can be changed into a prime (131127361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659801 + ... + 1659879.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^131127360 is an apocalyptic number.

131127360 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 131127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100800).

131127360 is an abundant number, since it is smaller than the sum of its proper divisors (415074240).

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

131127360 is a wasteful number, since it uses less digits than its factorization.

131127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 131127360 is about 11451.0855380614. The cubic root of 131127360 is about 508.0398422881.

Adding to 131127360 its reverse (63721131), we get a palindrome (194848491).

The spelling of 131127360 in words is "one hundred thirty-one million, one hundred twenty-seven thousand, three hundred sixty".