131712828000 has 384 divisors, whose sum is σ = 476039700864. Its totient is φ = 31629312000.

The previous prime is 131712827999. The next prime is 131712828001. The reversal of 131712828000 is 828217131.

It is an interprime number because it is at equal distance from previous prime (131712827999) and next prime (131712828001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131712828001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6385704 + ... + 6406296.

It is an arithmetic number, because the mean of its divisors is an integer number (1239686721).

Almost surely, 2^131712828000 is an apocalyptic number.

131712828000 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 131712828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238019850432).

131712828000 is an abundant number, since it is smaller than the sum of its proper divisors (344326872864).

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

131712828000 is a wasteful number, since it uses less digits than its factorization.

131712828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20675 (or 20657 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 131712828000 in words is "one hundred thirty-one billion, seven hundred twelve million, eight hundred twenty-eight thousand".