131453420444400 has 240 divisors, whose sum is σ = 421826523526368. Its totient is φ = 34992900096000.

The previous prime is 131453420444383. The next prime is 131453420444407. The reversal of 131453420444400 is 4444024354131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131453420444407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2174298972 + ... + 2174359428.

Almost surely, 2^{131453420444400} is an apocalyptic number.

131453420444400 is a gapful number since it is divisible by the number (10) 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 131453420444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210913261763184).

131453420444400 is an abundant number, since it is smaller than the sum of its proper divisors (290373103081968).

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

131453420444400 is a wasteful number, since it uses less digits than its factorization.

131453420444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63620 (or 63609 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 131453420444400 its reverse (4444024354131), we get a palindrome (135897444798531).

The spelling of 131453420444400 in words is "one hundred thirty-one trillion, four hundred fifty-three billion, four hundred twenty million, four hundred forty-four thousand, four hundred".