131135790912 has 224 divisors, whose sum is σ = 399232404480. Its totient is φ = 37213102080.

The previous prime is 131135790883. The next prime is 131135790913. The reversal of 131135790912 is 219097531131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131135790913) by changing a digit.

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, 189776487 + ... + 189777177.

It is an arithmetic number, because the mean of its divisors is an integer number (1782287520).

Almost surely, 2^131135790912 is an apocalyptic number.

131135790912 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 131135790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199616202240).

131135790912 is an abundant number, since it is smaller than the sum of its proper divisors (268096613568).

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

131135790912 is a wasteful number, since it uses less digits than its factorization.

131135790912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The spelling of 131135790912 in words is "one hundred thirty-one billion, one hundred thirty-five million, seven hundred ninety thousand, nine hundred twelve".