131350421454400 has 84 divisors (see below), whose sum is σ = 324236733084292. Its totient is φ = 52372308418560.

The previous prime is 131350421454379. The next prime is 131350421454403. The reversal of 131350421454400 is 4454124053131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9441264056896 + 121909157397504 = 3072664^2 + 11041248^2 .

It is a super-2 number, since 2×131350421454400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131350421454400.

It is not an unprimeable number, because it can be changed into a prime (131350421454403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130639797 + ... + 131641396.

Almost surely, 2^{131350421454400} is an apocalyptic number.

131350421454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131350421454400 is an abundant number, since it is smaller than the sum of its proper divisors (192886311629892).

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

131350421454400 is a wasteful number, since it uses less digits than its factorization.

131350421454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262281528 (or 262281513 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 131350421454400 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred twenty-one million, four hundred fifty-four thousand, four hundred".