131160006540 has 240 divisors, whose sum is σ = 431045157312. Its totient is φ = 33322696704.

The previous prime is 131160006473. The next prime is 131160006557. The reversal of 131160006540 is 45600061131.

131160006540 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 0 + 0 + 0 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9568972 + ... + 9582668.

Almost surely, 2^131160006540 is an apocalyptic number.

131160006540 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 131160006540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215522578656).

131160006540 is an abundant number, since it is smaller than the sum of its proper divisors (299885150772).

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

131160006540 is a wasteful number, since it uses less digits than its factorization.

131160006540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13998 (or 13987 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131160006540 its reverse (45600061131), we get a palindrome (176760067671).

The spelling of 131160006540 in words is "one hundred thirty-one billion, one hundred sixty million, six thousand, five hundred forty".