131868985248 has 288 divisors, whose sum is σ = 503500862592. Its totient is φ = 31616870400.

The previous prime is 131868985247. The next prime is 131868985267. The reversal of 131868985248 is 842589868131.

131868985248 is a `hidden beast` number, since 1 + 3 + 18 + 6 + 8 + 98 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (131868985247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59578 + ... + 516998.

It is an arithmetic number, because the mean of its divisors is an integer number (1748266884).

Almost surely, 2^131868985248 is an apocalyptic number.

131868985248 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 131868985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251750431296).

131868985248 is an abundant number, since it is smaller than the sum of its proper divisors (371631877344).

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

131868985248 is a wasteful number, since it uses less digits than its factorization.

131868985248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457468 (or 457457 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 131868985248 in words is "one hundred thirty-one billion, eight hundred sixty-eight million, nine hundred eighty-five thousand, two hundred forty-eight".