134430332131032 has 256 divisors, whose sum is σ = 392215799808000. Its totient is φ = 37603444354560.

The previous prime is 134430332131021. The next prime is 134430332131093. The reversal of 134430332131032 is 230131233034431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 134430332130984 and 134430332131002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8713956903 + ... + 8713972329.

It is an arithmetic number, because the mean of its divisors is an integer number (1532092968000).

Almost surely, 2^{134430332131032} is an apocalyptic number.

134430332131032 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 134430332131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196107899904000).

134430332131032 is an abundant number, since it is smaller than the sum of its proper divisors (257785467676968).

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

134430332131032 is a wasteful number, since it uses less digits than its factorization.

134430332131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20566 (or 20562 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 134430332131032 its reverse (230131233034431), we get a palindrome (364561565165463).

The spelling of 134430332131032 in words is "one hundred thirty-four trillion, four hundred thirty billion, three hundred thirty-two million, one hundred thirty-one thousand, thirty-two".