131250150853120 has 320 divisors, whose sum is σ = 356788756558080. Its totient is φ = 45904286711808.

The previous prime is 131250150853097. The next prime is 131250150853183. The reversal of 131250150853120 is 21358051052131.

131250150853120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131250150853120.

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 31 ways as a sum of consecutive naturals, for example, 6631129944 + ... + 6631149736.

It is an arithmetic number, because the mean of its divisors is an integer number (1114964864244).

Almost surely, 2^{131250150853120} is an apocalyptic number.

131250150853120 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 131250150853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178394378279040).

131250150853120 is an abundant number, since it is smaller than the sum of its proper divisors (225538605704960).

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

131250150853120 is a wasteful number, since it uses less digits than its factorization.

131250150853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335 (or 30319 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 131250150853120 in words is "one hundred thirty-one trillion, two hundred fifty billion, one hundred fifty million, eight hundred fifty-three thousand, one hundred twenty".