131772126720 has 320 divisors, whose sum is σ = 460458028800. Its totient is φ = 31950471168.

The previous prime is 131772126659. The next prime is 131772126841. The reversal of 131772126720 is 27621277131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6679431 + ... + 6699129.

It is an arithmetic number, because the mean of its divisors is an integer number (1438931340).

Almost surely, 2^131772126720 is an apocalyptic number.

131772126720 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 131772126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230229014400).

131772126720 is an abundant number, since it is smaller than the sum of its proper divisors (328685902080).

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

131772126720 is a wasteful number, since it uses less digits than its factorization.

131772126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19805 (or 19789 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 131772126720 in words is "one hundred thirty-one billion, seven hundred seventy-two million, one hundred twenty-six thousand, seven hundred twenty".