134424213434010 has 256 divisors, whose sum is σ = 393800942592000. Its totient is φ = 32477998671360.

The previous prime is 134424213433981. The next prime is 134424213434089. The reversal of 134424213434010 is 10434312424431.

134424213434010 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 2 + 4 + 213 + 434 + 0 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 750208830 + ... + 750387990.

It is an arithmetic number, because the mean of its divisors is an integer number (1538284932000).

Almost surely, 2^{134424213434010} is an apocalyptic number.

134424213434010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134424213434010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196900471296000).

134424213434010 is an abundant number, since it is smaller than the sum of its proper divisors (259376729157990).

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

134424213434010 is a wasteful number, since it uses less digits than its factorization.

134424213434010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185578 (or 185572 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134424213434010 its reverse (10434312424431), we get a palindrome (144858525858441).

The spelling of 134424213434010 in words is "one hundred thirty-four trillion, four hundred twenty-four billion, two hundred thirteen million, four hundred thirty-four thousand, ten".