134344310100 has 1152 divisors, whose sum is σ = 545797066752. Its totient is φ = 24617779200.

The previous prime is 134344310081. The next prime is 134344310117. The reversal of 134344310100 is 1013443431.

134344310100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1188887644 + ... + 1188887756.

It is an arithmetic number, because the mean of its divisors is an integer number (473782176).

Almost surely, 2^134344310100 is an apocalyptic number.

134344310100 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 134344310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272898533376).

134344310100 is an abundant number, since it is smaller than the sum of its proper divisors (411452756652).

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

134344310100 is a wasteful number, since it uses less digits than its factorization.

134344310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134344310100 its reverse (1013443431), we get a palindrome (135357753531).

It can be divided in two parts, 134344 and 310100, that added together give a palindrome (444444).

The spelling of 134344310100 in words is "one hundred thirty-four billion, three hundred forty-four million, three hundred ten thousand, one hundred".