131752608000 has 576 divisors, whose sum is σ = 474586973952. Its totient is φ = 32204390400.

The previous prime is 131752607983. The next prime is 131752608017. The reversal of 131752608000 is 806257131.

131752608000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131752607983) and next prime (131752608017).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240863727 + ... + 240864273.

Almost surely, 2^131752608000 is an apocalyptic number.

131752608000 is a gapful number since it is divisible by the number (10) 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 131752608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237293486976).

131752608000 is an abundant number, since it is smaller than the sum of its proper divisors (342834365952).

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

131752608000 is a wasteful number, since it uses less digits than its factorization.

131752608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 131752608000 in words is "one hundred thirty-one billion, seven hundred fifty-two million, six hundred eight thousand".