131845601610 has 128 divisors (see below), whose sum is σ = 370356710400. Its totient is φ = 33284623680.

The previous prime is 131845601609. The next prime is 131845601617. The reversal of 131845601610 is 16106548131.

It is a happy number.

131845601610 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 45 + 601 + 6 + 1 + 0 = 666.

131845601610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131845601617) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7845637 + ... + 7862423.

It is an arithmetic number, because the mean of its divisors is an integer number (2893411800).

Almost surely, 2^131845601610 is an apocalyptic number.

131845601610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131845601610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185178355200).

131845601610 is an abundant number, since it is smaller than the sum of its proper divisors (238511108790).

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

131845601610 is a wasteful number, since it uses less digits than its factorization.

131845601610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18353 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 131845601610 in words is "one hundred thirty-one billion, eight hundred forty-five million, six hundred one thousand, six hundred ten".