131105757456 has 120 divisors (see below), whose sum is σ = 386842472640. Its totient is φ = 41335660800.

The previous prime is 131105757449. The next prime is 131105757457. The reversal of 131105757456 is 654757501131.

131105757456 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 575 + 74 + 5 + 6 = 666.

It is a super-2 number, since 2×131105757456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131105757457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688446 + ... + 1764386.

It is an arithmetic number, because the mean of its divisors is an integer number (3223687272).

Almost surely, 2^131105757456 is an apocalyptic number.

131105757456 is a gapful number since it is divisible by the number (16) 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 131105757456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193421236320).

131105757456 is an abundant number, since it is smaller than the sum of its proper divisors (255736715184).

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

131105757456 is a wasteful number, since it uses less digits than its factorization.

131105757456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76605 (or 76596 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 131105757456 in words is "one hundred thirty-one billion, one hundred five million, seven hundred fifty-seven thousand, four hundred fifty-six".