131891457600 has 2016 divisors, whose sum is σ = 605327923200. Its totient is φ = 28165294080.

The previous prime is 131891457589. The next prime is 131891457601. The reversal of 131891457600 is 6754198131.

131891457600 is a `hidden beast` number, since 1 + 31 + 8 + 9 + 1 + 4 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131891457601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3067243179 + ... + 3067243221.

Almost surely, 2^131891457600 is an apocalyptic number.

131891457600 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 131891457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302663961600).

131891457600 is an abundant number, since it is smaller than the sum of its proper divisors (473436465600).

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

131891457600 is an equidigital number, since it uses as much as digits as its factorization.

131891457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 131891457600 in words is "one hundred thirty-one billion, eight hundred ninety-one million, four hundred fifty-seven thousand, six hundred".