134414041100 has 72 divisors (see below), whose sum is σ = 309534907248. Its totient is φ = 50488422400.

The previous prime is 134414041087. The next prime is 134414041129. The reversal of 134414041100 is 1140414431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663860 + ... + 842340.

It is an arithmetic number, because the mean of its divisors is an integer number (4299095934).

Almost surely, 2^134414041100 is an apocalyptic number.

134414041100 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 134414041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154767453624).

134414041100 is an abundant number, since it is smaller than the sum of its proper divisors (175120866148).

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

134414041100 is a wasteful number, since it uses less digits than its factorization.

134414041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178955 (or 178948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 134414041100 its reverse (1140414431), we get a palindrome (135554455531).

The spelling of 134414041100 in words is "one hundred thirty-four billion, four hundred fourteen million, forty-one thousand, one hundred".