131075245977984 has 768 divisors, whose sum is σ = 495215046144000. Its totient is φ = 32239893196800.

The previous prime is 131075245977971. The next prime is 131075245977989. The reversal of 131075245977984 is 489779542570131.

131075245977984 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 7 + 5 + 24 + 597 + 7 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×131075245977984² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131075245977989) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4279154349 + ... + 4279184979.

It is an arithmetic number, because the mean of its divisors is an integer number (644811258000).

Almost surely, 2^{131075245977984} is an apocalyptic number.

131075245977984 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 131075245977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247607523072000).

131075245977984 is an abundant number, since it is smaller than the sum of its proper divisors (364139800166016).

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

131075245977984 is a wasteful number, since it uses less digits than its factorization.

131075245977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33227 (or 33212 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 131075245977984 in words is "one hundred thirty-one trillion, seventy-five billion, two hundred forty-five million, nine hundred seventy-seven thousand, nine hundred eighty-four".