131834924728320 has 256 divisors, whose sum is σ = 460216733650560. Its totient is φ = 31959980441600.

The previous prime is 131834924728313. The next prime is 131834924728349. The reversal of 131834924728320 is 23827429438131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6785046 + ... + 17598485.

Almost surely, 2^{131834924728320} is an apocalyptic number.

131834924728320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131834924728320 is an abundant number, since it is smaller than the sum of its proper divisors (328381808922240).

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

131834924728320 is an equidigital number, since it uses as much as digits as its factorization.

131834924728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24383580 (or 24383552 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 131834924728320 in words is "one hundred thirty-one trillion, eight hundred thirty-four billion, nine hundred twenty-four million, seven hundred twenty-eight thousand, three hundred twenty".