131410735456 has 216 divisors, whose sum is σ = 356253629760. Its totient is φ = 47259717120.

The previous prime is 131410735441. The next prime is 131410735457. The reversal of 131410735456 is 654537014131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131410735457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2439825 + ... + 2493103.

It is an arithmetic number, because the mean of its divisors is an integer number (1649322360).

Almost surely, 2^131410735456 is an apocalyptic number.

131410735456 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 131410735456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178126814880).

131410735456 is an abundant number, since it is smaller than the sum of its proper divisors (224842894304).

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

131410735456 is a wasteful number, since it uses less digits than its factorization.

131410735456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53338 (or 53312 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

Adding to 131410735456 its reverse (654537014131), we get a palindrome (785947749587).

The spelling of 131410735456 in words is "one hundred thirty-one billion, four hundred ten million, seven hundred thirty-five thousand, four hundred fifty-six".