131409535072 has 96 divisors (see below), whose sum is σ = 268728606720. Its totient is φ = 63203950080.

The previous prime is 131409535027. The next prime is 131409535079. The reversal of 131409535072 is 270535904131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131409535079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102743329 + ... + 102744607.

It is an arithmetic number, because the mean of its divisors is an integer number (2799256320).

Almost surely, 2^131409535072 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 131409535072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134364303360).

131409535072 is an abundant number, since it is smaller than the sum of its proper divisors (137319071648).

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

131409535072 is a wasteful number, since it uses less digits than its factorization.

131409535072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 131409535072 in words is "one hundred thirty-one billion, four hundred nine million, five hundred thirty-five thousand, seventy-two".