131838136320 has 416 divisors, whose sum is σ = 484445882880. Its totient is φ = 30275665920.

The previous prime is 131838136273. The next prime is 131838136321. The reversal of 131838136320 is 23631838131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131838136321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12835827 + ... + 12846093.

Almost surely, 2^131838136320 is an apocalyptic number.

131838136320 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 131838136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242222941440).

131838136320 is an abundant number, since it is smaller than the sum of its proper divisors (352607746560).

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

131838136320 is a wasteful number, since it uses less digits than its factorization.

131838136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 131838136320 in words is "one hundred thirty-one billion, eight hundred thirty-eight million, one hundred thirty-six thousand, three hundred twenty".