131845819392 has 352 divisors, whose sum is σ = 455383808000. Its totient is φ = 37667524608.

The previous prime is 131845819387. The next prime is 131845819403. The reversal of 131845819392 is 293918548131.

It is a happy number.

131845819392 is a `hidden beast` number, since 1 + 3 + 18 + 458 + 1 + 93 + 92 = 666.

It is a super-2 number, since 2×131845819392² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9476313 + ... + 9490215.

It is an arithmetic number, because the mean of its divisors is an integer number (1293704000).

Almost surely, 2^131845819392 is an apocalyptic number.

131845819392 is a gapful number since it is divisible by the number (12) 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 131845819392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227691904000).

131845819392 is an abundant number, since it is smaller than the sum of its proper divisors (323537988608).

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

131845819392 is an equidigital number, since it uses as much as digits as its factorization.

131845819392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13953 (or 13915 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 131845819392 in words is "one hundred thirty-one billion, eight hundred forty-five million, eight hundred nineteen thousand, three hundred ninety-two".