134010144134300 has 432 divisors, whose sum is σ = 356100136132608. Its totient is φ = 43591888972800.

The previous prime is 134010144134239. The next prime is 134010144134327. The reversal of 134010144134300 is 3431441010431.

134010144134300 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1851776717 + ... + 1851849083.

Almost surely, 2^{134010144134300} is an apocalyptic number.

134010144134300 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 134010144134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178050068066304).

134010144134300 is an abundant number, since it is smaller than the sum of its proper divisors (222089991998308).

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

134010144134300 is a wasteful number, since it uses less digits than its factorization.

134010144134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72666 (or 72652 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 134010144134300 its reverse (3431441010431), we get a palindrome (137441585144731).

The spelling of 134010144134300 in words is "one hundred thirty-four trillion, ten billion, one hundred forty-four million, one hundred thirty-four thousand, three hundred".