131541259862208 has 336 divisors, whose sum is σ = 418571020136448. Its totient is φ = 36314062848000.

The previous prime is 131541259862197. The next prime is 131541259862213. The reversal of 131541259862208 is 802268952145131.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×131541259862208² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 186594553 + ... + 187298183.

Almost surely, 2^{131541259862208} 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 131541259862208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209285510068224).

131541259862208 is an abundant number, since it is smaller than the sum of its proper divisors (287029760274240).

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

131541259862208 is a wasteful number, since it uses less digits than its factorization.

131541259862208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704332 (or 704315 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 131541259862208 in words is "one hundred thirty-one trillion, five hundred forty-one billion, two hundred fifty-nine million, eight hundred sixty-two thousand, two hundred eight".