131854117248 has 768 divisors, whose sum is σ = 486525312000. Its totient is φ = 35407798272.

The previous prime is 131854117247. The next prime is 131854117337. The reversal of 131854117248 is 842711458131.

131854117248 is a `hidden beast` number, since 1 + 31 + 8 + 541 + 1 + 72 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131854117243) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 181367061 + ... + 181367787.

It is an arithmetic number, because the mean of its divisors is an integer number (633496500).

Almost surely, 2^131854117248 is an apocalyptic number.

131854117248 is a gapful number since it is divisible by the number (18) 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 131854117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243262656000).

131854117248 is an abundant number, since it is smaller than the sum of its proper divisors (354671194752).

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

131854117248 is an frugal number, since it uses more digits than its factorization.

131854117248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 756 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 131854117248 in words is "one hundred thirty-one billion, eight hundred fifty-four million, one hundred seventeen thousand, two hundred forty-eight".