131376204288 has 720 divisors, whose sum is σ = 465191785344. Its totient is φ = 36279705600.

The previous prime is 131376204259. The next prime is 131376204299. The reversal of 131376204288 is 882402673131.

131376204288 is a `hidden beast` number, since 1 + 3 + 13 + 7 + 620 + 4 + 2 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 870041013 + ... + 870041163.

Almost surely, 2^131376204288 is an apocalyptic number.

131376204288 is a gapful number since it is divisible by the number (18) 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 131376204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232595892672).

131376204288 is an abundant number, since it is smaller than the sum of its proper divisors (333815581056).

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

131376204288 is an frugal number, since it uses more digits than its factorization.

131376204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 131376204288 in words is "one hundred thirty-one billion, three hundred seventy-six million, two hundred four thousand, two hundred eighty-eight".