131825204560980 has 384 divisors, whose sum is σ = 483863220879360. Its totient is φ = 29157585085440.

The previous prime is 131825204560937. The next prime is 131825204560997. The reversal of 131825204560980 is 89065402528131.

131825204560980 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 2 + 5 + 20 + 4 + 5 + 609 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2539616187 + ... + 2539668093.

It is an arithmetic number, because the mean of its divisors is an integer number (1260060471040).

Almost surely, 2^{131825204560980} is an apocalyptic number.

131825204560980 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 131825204560980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241931610439680).

131825204560980 is an abundant number, since it is smaller than the sum of its proper divisors (352038016318380).

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

131825204560980 is a wasteful number, since it uses less digits than its factorization.

131825204560980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73636 (or 73628 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 131825204560980 in words is "one hundred thirty-one trillion, eight hundred twenty-five billion, two hundred four million, five hundred sixty thousand, nine hundred eighty".