131997444480 has 1536 divisors, whose sum is σ = 564583219200. Its totient is φ = 29113344000.

The previous prime is 131997444457. The next prime is 131997444497. The reversal of 131997444480 is 84444799131.

131997444480 is a `hidden beast` number, since 1 + 3 + 1 + 99 + 74 + 4 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1007614015 + ... + 1007614145.

It is an arithmetic number, because the mean of its divisors is an integer number (367567200).

Almost surely, 2^131997444480 is an apocalyptic number.

131997444480 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 131997444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282291609600).

131997444480 is an abundant number, since it is smaller than the sum of its proper divisors (432585774720).

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

131997444480 is a wasteful number, since it uses less digits than its factorization.

131997444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 131997444480 in words is "one hundred thirty-one billion, nine hundred ninety-seven million, four hundred forty-four thousand, four hundred eighty".