131928917120 has 1152 divisors, whose sum is σ = 453503162880. Its totient is φ = 36229939200.

The previous prime is 131928917111. The next prime is 131928917137. The reversal of 131928917120 is 21719829131.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1807245404 + ... + 1807245476.

It is an arithmetic number, because the mean of its divisors is an integer number (393665940).

Almost surely, 2^131928917120 is an apocalyptic number.

131928917120 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 131928917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226751581440).

131928917120 is an abundant number, since it is smaller than the sum of its proper divisors (321574245760).

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

131928917120 is a wasteful number, since it uses less digits than its factorization.

131928917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 44.

The spelling of 131928917120 in words is "one hundred thirty-one billion, nine hundred twenty-eight million, nine hundred seventeen thousand, one hundred twenty".