131062611456 has 240 divisors, whose sum is σ = 446240391168. Its totient is φ = 36238233600.

The previous prime is 131062611437. The next prime is 131062611457. The reversal of 131062611456 is 654116260131.

131062611456 is a `hidden beast` number, since 1 + 3 + 10 + 626 + 1 + 14 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131062611456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131062611457) 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 23 ways as a sum of consecutive naturals, for example, 934401 + ... + 1065471.

Almost surely, 2^131062611456 is an apocalyptic number.

131062611456 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 131062611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223120195584).

131062611456 is an abundant number, since it is smaller than the sum of its proper divisors (315177779712).

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

131062611456 is a wasteful number, since it uses less digits than its factorization.

131062611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131133 (or 131114 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 131062611456 its reverse (654116260131), we get a palindrome (785178871587).

The spelling of 131062611456 in words is "one hundred thirty-one billion, sixty-two million, six hundred eleven thousand, four hundred fifty-six".