131895558144 has 640 divisors, whose sum is σ = 466902796800. Its totient is φ = 36309565440.

The previous prime is 131895558083. The next prime is 131895558163. The reversal of 131895558144 is 441855598131.

131895558144 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 9 + 55 + 581 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 575963022 + ... + 575963250.

It is an arithmetic number, because the mean of its divisors is an integer number (729535620).

Almost surely, 2^131895558144 is an apocalyptic number.

131895558144 is a gapful number since it is divisible by the number (14) 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 131895558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233451398400).

131895558144 is an abundant number, since it is smaller than the sum of its proper divisors (335007238656).

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

131895558144 is an frugal number, since it uses more digits than its factorization.

131895558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 272 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 131895558144 in words is "one hundred thirty-one billion, eight hundred ninety-five million, five hundred fifty-eight thousand, one hundred forty-four".