131466343788 has 192 divisors, whose sum is σ = 386725248000. Its totient is φ = 38287531008.

The previous prime is 131466343753. The next prime is 131466343817. The reversal of 131466343788 is 887343664131.

It is a happy number.

131466343788 is a `hidden beast` number, since 1 + 3 + 146 + 63 + 437 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54391156 + ... + 54393572.

It is an arithmetic number, because the mean of its divisors is an integer number (2014194000).

Almost surely, 2^131466343788 is an apocalyptic number.

131466343788 is a gapful number since it is divisible by the number (18) 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 131466343788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193362624000).

131466343788 is an abundant number, since it is smaller than the sum of its proper divisors (255258904212).

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

131466343788 is a wasteful number, since it uses less digits than its factorization.

131466343788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4493 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 131466343788 in words is "one hundred thirty-one billion, four hundred sixty-six million, three hundred forty-three thousand, seven hundred eighty-eight".