131278541829120 has 1584 divisors, whose sum is σ = 537656294343168. Its totient is φ = 29525728296960.

The previous prime is 131278541829079. The next prime is 131278541829131. The reversal of 131278541829120 is 21928145872131.

131278541829120 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 7 + 8 + 541 + 8 + 2 + 91 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106643818905 + ... + 106643820135.

It is an arithmetic number, because the mean of its divisors is an integer number (339429478752).

Almost surely, 2^{131278541829120} is an apocalyptic number.

131278541829120 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 131278541829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268828147171584).

131278541829120 is an abundant number, since it is smaller than the sum of its proper divisors (406377752514048).

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

131278541829120 is a wasteful number, since it uses less digits than its factorization.

131278541829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 131278541829120 in words is "one hundred thirty-one trillion, two hundred seventy-eight billion, five hundred forty-one million, eight hundred twenty-nine thousand, one hundred twenty".