131334451504432 has 160 divisors (see below), whose sum is σ = 292045466822400. Its totient is φ = 56662950220800.

The previous prime is 131334451504381. The next prime is 131334451504441. The reversal of 131334451504432 is 234405154433131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167515194 + ... + 168297382.

It is an arithmetic number, because the mean of its divisors is an integer number (1825284167640).

Almost surely, 2^{131334451504432} 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 131334451504432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146022733411200).

131334451504432 is an abundant number, since it is smaller than the sum of its proper divisors (160711015317968).

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

131334451504432 is a wasteful number, since it uses less digits than its factorization.

131334451504432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782795 (or 782789 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 131334451504432 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, four hundred fifty-one million, five hundred four thousand, four hundred thirty-two".