131874030849600 has 672 divisors, whose sum is σ = 540218026333440. Its totient is φ = 31049935994880.

The previous prime is 131874030849569. The next prime is 131874030849667. The reversal of 131874030849600 is 6948030478131.

131874030849600 is a `hidden beast` number, since 1 + 3 + 1 + 87 + 40 + 30 + 8 + 496 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7812052 + ... + 18021548.

It is an arithmetic number, because the mean of its divisors is an integer number (803895872520).

Almost surely, 2^{131874030849600} is an apocalyptic number.

131874030849600 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 131874030849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270109013166720).

131874030849600 is an abundant number, since it is smaller than the sum of its proper divisors (408343995483840).

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

131874030849600 is a wasteful number, since it uses less digits than its factorization.

131874030849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209564 (or 10209543 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 131874030849600 in words is "one hundred thirty-one trillion, eight hundred seventy-four billion, thirty million, eight hundred forty-nine thousand, six hundred".