134430400500 has 192 divisors, whose sum is σ = 427389371136. Its totient is φ = 32563200000.

The previous prime is 134430400493. The next prime is 134430400513. The reversal of 134430400500 is 5004034431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27998100 + ... + 28002900.

It is an arithmetic number, because the mean of its divisors is an integer number (2225986308).

Almost surely, 2^134430400500 is an apocalyptic number.

134430400500 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 134430400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213694685568).

134430400500 is an abundant number, since it is smaller than the sum of its proper divisors (292958970636).

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

134430400500 is a wasteful number, since it uses less digits than its factorization.

134430400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 134430400500 its reverse (5004034431), we get a palindrome (139434434931).

The spelling of 134430400500 in words is "one hundred thirty-four billion, four hundred thirty million, four hundred thousand, five hundred".