131556160000 has 100 divisors (see below), whose sum is σ = 328464874782. Its totient is φ = 52622336000.

The previous prime is 131556159991. The next prime is 131556160003. The reversal of 131556160000 is 61655131.

It can be written as a sum of positive squares in 5 ways, for example, as 5400486144 + 126155673856 = 73488^2 + 355184^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (131556160003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 114444 + ... + 525556.

Almost surely, 2^131556160000 is an apocalyptic number.

131556160000 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 131556160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164232437391).

131556160000 is an abundant number, since it is smaller than the sum of its proper divisors (196908714782).

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

131556160000 is an frugal number, since it uses more digits than its factorization.

131556160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411151 (or 411120 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 131556160000 in words is "one hundred thirty-one billion, five hundred fifty-six million, one hundred sixty thousand".