131616430672 has 80 divisors (see below), whose sum is σ = 269161185280. Its totient is φ = 62266838400.

The previous prime is 131616430667. The next prime is 131616430681. The reversal of 131616430672 is 276034616131.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4019647 + ... + 4052257.

It is an arithmetic number, because the mean of its divisors is an integer number (3364514816).

Almost surely, 2^131616430672 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 131616430672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134580592640).

131616430672 is an abundant number, since it is smaller than the sum of its proper divisors (137544754608).

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

131616430672 is a wasteful number, since it uses less digits than its factorization.

131616430672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32832 (or 32826 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 131616430672 in words is "one hundred thirty-one billion, six hundred sixteen million, four hundred thirty thousand, six hundred seventy-two".