134217766800 has 240 divisors, whose sum is σ = 514463738880. Its totient is φ = 33038184960.

The previous prime is 134217766789. The next prime is 134217766841. The reversal of 134217766800 is 8667712431.

134217766800 is a `hidden beast` number, since 1 + 342 + 177 + 66 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337584 + ... + 618383.

It is an arithmetic number, because the mean of its divisors is an integer number (2143598912).

Almost surely, 2^134217766800 is an apocalyptic number.

134217766800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134217766800 is an abundant number, since it is smaller than the sum of its proper divisors (380245972080).

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

134217766800 is a wasteful number, since it uses less digits than its factorization.

134217766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956007 (or 955990 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 134217766800 in words is "one hundred thirty-four billion, two hundred seventeen million, seven hundred sixty-six thousand, eight hundred".