131553536295852 has 216 divisors, whose sum is σ = 380963027586960. Its totient is φ = 37915569457920.

The previous prime is 131553536295697. The next prime is 131553536295869. The reversal of 131553536295852 is 258592635355131.

131553536295852 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 5 + 3 + 536 + 2 + 95 + 8 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131553536295852.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50275738 + ... + 52827614.

It is an arithmetic number, because the mean of its divisors is an integer number (1763717720310).

Almost surely, 2^{131553536295852} is an apocalyptic number.

131553536295852 is a gapful number since it is divisible by the number (12) 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 131553536295852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190481513793480).

131553536295852 is an abundant number, since it is smaller than the sum of its proper divisors (249409491291108).

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

131553536295852 is a wasteful number, since it uses less digits than its factorization.

131553536295852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552061 (or 2551989 counting only the distinct ones).

The product of its digits is 145800000, while the sum is 63.

The spelling of 131553536295852 in words is "one hundred thirty-one trillion, five hundred fifty-three billion, five hundred thirty-six million, two hundred ninety-five thousand, eight hundred fifty-two".