131639219712 has 1440 divisors, whose sum is σ = 542006809344. Its totient is φ = 31352832000.

The previous prime is 131639219689. The next prime is 131639219737. The reversal of 131639219712 is 217912936131.

131639219712 is a `hidden beast` number, since 1 + 3 + 1 + 639 + 2 + 1 + 9 + 7 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 871782837 + ... + 871782987.

Almost surely, 2^131639219712 is an apocalyptic number.

131639219712 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 131639219712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271003404672).

131639219712 is an abundant number, since it is smaller than the sum of its proper divisors (410367589632).

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

131639219712 is a wasteful number, since it uses less digits than its factorization.

131639219712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The spelling of 131639219712 in words is "one hundred thirty-one billion, six hundred thirty-nine million, two hundred nineteen thousand, seven hundred twelve".