131991552000 has 1920 divisors, whose sum is σ = 628119797760. Its totient is φ = 26542080000.

The previous prime is 131991551999. The next prime is 131991552001. The reversal of 131991552000 is 255199131.

131991552000 is a `hidden beast` number, since 1 + 3 + 19 + 91 + 552 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131991551999) and next prime (131991552001).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131991552001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4257791985 + ... + 4257792015.

It is an arithmetic number, because the mean of its divisors is an integer number (327145728).

Almost surely, 2^131991552000 is an apocalyptic number.

131991552000 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 131991552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314059898880).

131991552000 is an abundant number, since it is smaller than the sum of its proper divisors (496128245760).

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

131991552000 is an equidigital number, since it uses as much as digits as its factorization.

131991552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 131991552000 in words is "one hundred thirty-one billion, nine hundred ninety-one million, five hundred fifty-two thousand".