131149601856 has 1008 divisors, whose sum is σ = 507250598400. Its totient is φ = 31506112512.

The previous prime is 131149601851. The next prime is 131149601873. The reversal of 131149601856 is 658106941131.

131149601856 is a `hidden beast` number, since 1 + 31 + 1 + 4 + 9 + 601 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (131149601851) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 548742985 + ... + 548743223.

It is an arithmetic number, because the mean of its divisors is an integer number (503224800).

Almost surely, 2^131149601856 is an apocalyptic number.

131149601856 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 131149601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253625299200).

131149601856 is an abundant number, since it is smaller than the sum of its proper divisors (376100996544).

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

131149601856 is a wasteful number, since it uses less digits than its factorization.

131149601856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 131149601856 in words is "one hundred thirty-one billion, one hundred forty-nine million, six hundred one thousand, eight hundred fifty-six".