131763192480 has 336 divisors, whose sum is σ = 468855422280. Its totient is φ = 34976323584.

The previous prime is 131763192461. The next prime is 131763192481. The reversal of 131763192480 is 84291367131.

131763192480 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 631 + 9 + 2 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120261916944 + 11501275536 = 346788^2 + 107244^2 .

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 (131763192481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26708094 + ... + 26713026.

Almost surely, 2^131763192480 is an apocalyptic number.

131763192480 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 131763192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234427711140).

131763192480 is an abundant number, since it is smaller than the sum of its proper divisors (337092229800).

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

131763192480 is an equidigital number, since it uses as much as digits as its factorization.

131763192480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 131763192480 in words is "one hundred thirty-one billion, seven hundred sixty-three million, one hundred ninety-two thousand, four hundred eighty".