131234640445440 has 1200 divisors, whose sum is σ = 555049635216384. Its totient is φ = 29028542054400.

The previous prime is 131234640445327. The next prime is 131234640445483. The reversal of 131234640445440 is 44544046432131.

131234640445440 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 4 + 64 + 0 + 44 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1439862270 + ... + 1439953410.

Almost surely, 2^{131234640445440} is an apocalyptic number.

131234640445440 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 131234640445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277524817608192).

131234640445440 is an abundant number, since it is smaller than the sum of its proper divisors (423814994770944).

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

131234640445440 is an frugal number, since it uses more digits than its factorization.

131234640445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91224 (or 91189 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

Adding to 131234640445440 its reverse (44544046432131), we get a palindrome (175778686877571).

The spelling of 131234640445440 in words is "one hundred thirty-one trillion, two hundred thirty-four billion, six hundred forty million, four hundred forty-five thousand, four hundred forty".