131678958528000 has 640 divisors, whose sum is σ = 523862879379840. Its totient is φ = 32413276569600.

The previous prime is 131678958527969. The next prime is 131678958528041. The reversal of 131678958528000 is 825859876131.

131678958528000 is a `hidden beast` number, since 1 + 3 + 16 + 7 + 8 + 95 + 8 + 528 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19533112 + ... + 25394888.

It is an arithmetic number, because the mean of its divisors is an integer number (818535749031).

Almost surely, 2^{131678958528000} is an apocalyptic number.

131678958528000 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 131678958528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261931439689920).

131678958528000 is an abundant number, since it is smaller than the sum of its proper divisors (392183920851840).

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

131678958528000 is an equidigital number, since it uses as much as digits as its factorization.

131678958528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861832 (or 5861800 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 131678958528000 in words is "one hundred thirty-one trillion, six hundred seventy-eight billion, nine hundred fifty-eight million, five hundred twenty-eight thousand".