131874434740224 has 416 divisors, whose sum is σ = 431344140998400. Its totient is φ = 39480450416640.

The previous prime is 131874434740163. The next prime is 131874434740253. The reversal of 131874434740224 is 422047434478131.

131874434740224 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 74 + 4 + 347 + 4 + 0 + 224 = 666.

It is a super-2 number, since 2×131874434740224² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 100317462 + ... + 101623530.

Almost surely, 2^{131874434740224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131874434740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215672070499200).

131874434740224 is an abundant number, since it is smaller than the sum of its proper divisors (299469706258176).

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

131874434740224 is a wasteful number, since it uses less digits than its factorization.

131874434740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306196 (or 1306168 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 131874434740224 in words is "one hundred thirty-one trillion, eight hundred seventy-four billion, four hundred thirty-four million, seven hundred forty thousand, two hundred twenty-four".