131959048320000 has 3520 divisors, whose sum is σ = 571243334618880. Its totient is φ = 29727129600000.

The previous prime is 131959048319999. The next prime is 131959048320023. The reversal of 131959048320000 is 23840959131.

It is a happy number.

131959048320000 is a `hidden beast` number, since 1 + 3 + 19 + 590 + 48 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 313441919790 + ... + 313441920210.

It is an arithmetic number, because the mean of its divisors is an integer number (162285038244).

Almost surely, 2^{131959048320000} is an apocalyptic number.

131959048320000 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 131959048320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285621667309440).

131959048320000 is an abundant number, since it is smaller than the sum of its proper divisors (439284286298880).

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

131959048320000 is a wasteful number, since it uses less digits than its factorization.

131959048320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 131959048320000 in words is "one hundred thirty-one trillion, nine hundred fifty-nine billion, forty-eight million, three hundred twenty thousand".