131237145554616 has 192 divisors, whose sum is σ = 376596713750400. Its totient is φ = 41144563298304.

The previous prime is 131237145554569. The next prime is 131237145554657. The reversal of 131237145554616 is 616455541732131.

131237145554616 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 7 + 14 + 5 + 5 + 5 + 4 + 616 = 666.

It is a super-2 number, since 2×131237145554616² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15825046566 + ... + 15825054858.

It is an arithmetic number, because the mean of its divisors is an integer number (1961441217450).

Almost surely, 2^{131237145554616} 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 131237145554616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188298356875200).

131237145554616 is an abundant number, since it is smaller than the sum of its proper divisors (245359568195784).

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

131237145554616 is a wasteful number, since it uses less digits than its factorization.

131237145554616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518 (or 15511 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 131237145554616 in words is "one hundred thirty-one trillion, two hundred thirty-seven billion, one hundred forty-five million, five hundred fifty-four thousand, six hundred sixteen".