131661507840 has 144 divisors (see below), whose sum is σ = 422172305856. Its totient is φ = 34969600000.

The previous prime is 131661507821. The next prime is 131661507853. The reversal of 131661507840 is 48705166131.

It is a junction number, because it is equal to n+sod(n) for n = 131661507792 and 131661507801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895540 + ... + 1032140.

It is an arithmetic number, because the mean of its divisors is an integer number (2931752124).

Almost surely, 2^131661507840 is an apocalyptic number.

131661507840 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 131661507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211086152928).

131661507840 is an abundant number, since it is smaller than the sum of its proper divisors (290510798016).

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

131661507840 is a wasteful number, since it uses less digits than its factorization.

131661507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136876 (or 136862 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 131661507840 in words is "one hundred thirty-one billion, six hundred sixty-one million, five hundred seven thousand, eight hundred forty".