131424434322400 has 144 divisors (see below), whose sum is σ = 331997125980240. Its totient is φ = 50742681292800.

The previous prime is 131424434322373. The next prime is 131424434322403. The reversal of 131424434322400 is 4223434424131.

It is a super-2 number, since 2×131424434322400² (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 131424434322400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131424434322403) 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, 81491860 + ... + 83088940.

It is an arithmetic number, because the mean of its divisors is an integer number (2305535597085).

Almost surely, 2^{131424434322400} is an apocalyptic number.

131424434322400 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 131424434322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165998562990120).

131424434322400 is an abundant number, since it is smaller than the sum of its proper divisors (200572691657840).

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

131424434322400 is a wasteful number, since it uses less digits than its factorization.

131424434322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600677 (or 1600664 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 131424434322400 its reverse (4223434424131), we get a palindrome (135647868746531).

The spelling of 131424434322400 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, four hundred thirty-four million, three hundred twenty-two thousand, four hundred".