131440736336 has 160 divisors (see below), whose sum is σ = 328693128960. Its totient is φ = 49516572672.

The previous prime is 131440736327. The next prime is 131440736377. The reversal of 131440736336 is 633637044131.

It is a junction number, because it is equal to n+sod(n) for n = 131440736293 and 131440736302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3061031 + ... + 3103673.

It is an arithmetic number, because the mean of its divisors is an integer number (2054332056).

Almost surely, 2^131440736336 is an apocalyptic number.

131440736336 is a gapful number since it is divisible by the number (16) 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 131440736336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164346564480).

131440736336 is an abundant number, since it is smaller than the sum of its proper divisors (197252392624).

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

131440736336 is a wasteful number, since it uses less digits than its factorization.

131440736336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42773 (or 42767 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 41.

The spelling of 131440736336 in words is "one hundred thirty-one billion, four hundred forty million, seven hundred thirty-six thousand, three hundred thirty-six".