131850561024 has 1600 divisors, whose sum is σ = 532365926400. Its totient is φ = 32188907520.

The previous prime is 131850561019. The next prime is 131850561041. The reversal of 131850561024 is 420165058131.

131850561024 is a `hidden beast` number, since 1 + 3 + 18 + 5 + 0 + 5 + 610 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131850561024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4253243889 + ... + 4253243919.

It is an arithmetic number, because the mean of its divisors is an integer number (332728704).

Almost surely, 2^131850561024 is an apocalyptic number.

131850561024 is a gapful number since it is divisible by the number (14) 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 131850561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266182963200).

131850561024 is an abundant number, since it is smaller than the sum of its proper divisors (400515365376).

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

131850561024 is an equidigital number, since it uses as much as digits as its factorization.

131850561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 131850561024 in words is "one hundred thirty-one billion, eight hundred fifty million, five hundred sixty-one thousand, twenty-four".