131744321622408 has 256 divisors, whose sum is σ = 372702562848000. Its totient is φ = 38441223475200.

The previous prime is 131744321622401. The next prime is 131744321622451. The reversal of 131744321622408 is 804226123447131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131744321622401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7161175866 + ... + 7161194262.

It is an arithmetic number, because the mean of its divisors is an integer number (1455869386125).

Almost surely, 2^{131744321622408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131744321622408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186351281424000).

131744321622408 is an abundant number, since it is smaller than the sum of its proper divisors (240958241225592).

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

131744321622408 is a wasteful number, since it uses less digits than its factorization.

131744321622408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20936 (or 20932 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 131744321622408 in words is "one hundred thirty-one trillion, seven hundred forty-four billion, three hundred twenty-one million, six hundred twenty-two thousand, four hundred eight".