131905007359488 has 320 divisors, whose sum is σ = 426033264983040. Its totient is φ = 39962767564800.

The previous prime is 131905007359487. The next prime is 131905007359529. The reversal of 131905007359488 is 884953700509131.

131905007359488 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 500 + 7 + 35 + 94 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131905007359487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739093881 + ... + 739272327.

It is an arithmetic number, because the mean of its divisors is an integer number (1331353953072).

Almost surely, 2^{131905007359488} is an apocalyptic number.

131905007359488 is a gapful number since it is divisible by the number (18) 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 131905007359488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213016632491520).

131905007359488 is an abundant number, since it is smaller than the sum of its proper divisors (294128257623552).

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

131905007359488 is a wasteful number, since it uses less digits than its factorization.

131905007359488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183346 (or 183324 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 131905007359488 in words is "one hundred thirty-one trillion, nine hundred five billion, seven million, three hundred fifty-nine thousand, four hundred eighty-eight".