134105433300 has 576 divisors, whose sum is σ = 482969088000. Its totient is φ = 31723591680.

The previous prime is 134105433257. The next prime is 134105433337. The reversal of 134105433300 is 3334501431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 320060491 + ... + 320060909.

It is an arithmetic number, because the mean of its divisors is an integer number (838488000).

Almost surely, 2^134105433300 is an apocalyptic number.

134105433300 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 134105433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241484544000).

134105433300 is an abundant number, since it is smaller than the sum of its proper divisors (348863654700).

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

134105433300 is a wasteful number, since it uses less digits than its factorization.

134105433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 134105433300 its reverse (3334501431), we get a palindrome (137439934731).

The spelling of 134105433300 in words is "one hundred thirty-four billion, one hundred five million, four hundred thirty-three thousand, three hundred".