134434500000 has 672 divisors, whose sum is σ = 478400126400. Its totient is φ = 32947200000.

The previous prime is 134434499987. The next prime is 134434500001. The reversal of 134434500000 is 5434431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (134434500001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1510499956 + ... + 1510500044.

It is an arithmetic number, because the mean of its divisors is an integer number (711904950).

Almost surely, 2^134434500000 is an apocalyptic number.

134434500000 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 134434500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239200063200).

134434500000 is an abundant number, since it is smaller than the sum of its proper divisors (343965626400).

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

134434500000 is an frugal number, since it uses more digits than its factorization.

134434500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 171 counting only the distinct ones).

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

Adding to 134434500000 its reverse (5434431), we get a palindrome (134439934431).

The spelling of 134434500000 in words is "one hundred thirty-four billion, four hundred thirty-four million, five hundred thousand".