131959484052480 has 2112 divisors, whose sum is σ = 567472308641280. Its totient is φ = 28469035008000.

The previous prime is 131959484052433. The next prime is 131959484052503. The reversal of 131959484052480 is 84250484959131.

131959484052480 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 59 + 484 + 0 + 5 + 24 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38127557950 + ... + 38127561410.

Almost surely, 2^{131959484052480} is an apocalyptic number.

131959484052480 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 131959484052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283736154320640).

131959484052480 is an abundant number, since it is smaller than the sum of its proper divisors (435512824588800).

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

131959484052480 is a wasteful number, since it uses less digits than its factorization.

131959484052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 131959484052480 in words is "one hundred thirty-one trillion, nine hundred fifty-nine billion, four hundred eighty-four million, fifty-two thousand, four hundred eighty".