134404140020100 has 72 divisors (see below), whose sum is σ = 388957286390400. Its totient is φ = 35833610186880.

The previous prime is 134404140020083. The next prime is 134404140020131. The reversal of 134404140020100 is 1020041404431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45399075 + ... + 48268874.

It is an arithmetic number, because the mean of its divisors is an integer number (5402184533200).

Almost surely, 2^{134404140020100} is an apocalyptic number.

134404140020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134404140020100 is an abundant number, since it is smaller than the sum of its proper divisors (254553146370300).

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

134404140020100 is a wasteful number, since it uses less digits than its factorization.

134404140020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93672749 (or 93672742 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 134404140020100 its reverse (1020041404431), we get a palindrome (135424181424531).

The spelling of 134404140020100 in words is "one hundred thirty-four trillion, four hundred four billion, one hundred forty million, twenty thousand, one hundred".