131895518096 has 160 divisors (see below), whose sum is σ = 281760716160. Its totient is φ = 59563212800.

The previous prime is 131895518071. The next prime is 131895518173. The reversal of 131895518096 is 690815598131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200144615 + ... + 200145273.

It is an arithmetic number, because the mean of its divisors is an integer number (1761004476).

Almost surely, 2^131895518096 is an apocalyptic number.

131895518096 is a gapful number since it is divisible by the number (16) 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 131895518096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140880358080).

131895518096 is an abundant number, since it is smaller than the sum of its proper divisors (149865198064).

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

131895518096 is a wasteful number, since it uses less digits than its factorization.

131895518096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 56.

The spelling of 131895518096 in words is "one hundred thirty-one billion, eight hundred ninety-five million, five hundred eighteen thousand, ninety-six".