134711994760200 has 576 divisors, whose sum is σ = 531553528396800. Its totient is φ = 30142308556800.

The previous prime is 134711994760193. The next prime is 134711994760247. The reversal of 134711994760200 is 2067499117431.

134711994760200 is a `hidden beast` number, since 1 + 3 + 471 + 1 + 9 + 94 + 7 + 60 + 20 + 0 = 666.

134711994760200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134711994760200³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3422628121 + ... + 3422667479.

It is an arithmetic number, because the mean of its divisors is an integer number (922835986800).

Almost surely, 2^{134711994760200} is an apocalyptic number.

134711994760200 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 134711994760200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265776764198400).

134711994760200 is an abundant number, since it is smaller than the sum of its proper divisors (396841533636600).

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

134711994760200 is a wasteful number, since it uses less digits than its factorization.

134711994760200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52702 (or 52690 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 134711994760200 in words is "one hundred thirty-four trillion, seven hundred eleven billion, nine hundred ninety-four million, seven hundred sixty thousand, two hundred".