131105475072 has 480 divisors, whose sum is σ = 461056115520. Its totient is φ = 36667883520.

The previous prime is 131105475049. The next prime is 131105475089. The reversal of 131105475072 is 270574501131.

131105475072 is a `hidden beast` number, since 1 + 3 + 1 + 105 + 47 + 507 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17787804 + ... + 17795172.

It is an arithmetic number, because the mean of its divisors is an integer number (960533574).

Almost surely, 2^131105475072 is an apocalyptic number.

131105475072 is a gapful number since it is divisible by the number (12) 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 131105475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230528057760).

131105475072 is an abundant number, since it is smaller than the sum of its proper divisors (329950640448).

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

131105475072 is an equidigital number, since it uses as much as digits as its factorization.

131105475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 131105475072 in words is "one hundred thirty-one billion, one hundred five million, four hundred seventy-five thousand, seventy-two".