134595430855200 has 1152 divisors, whose sum is σ = 589300597347840. Its totient is φ = 28942811136000.

The previous prime is 134595430855129. The next prime is 134595430855201. The reversal of 134595430855200 is 2558034595431.

134595430855200 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 9 + 5 + 4 + 30 + 85 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (134595430855201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6973485550 + ... + 6973504850.

It is an arithmetic number, because the mean of its divisors is an integer number (511545657420).

Almost surely, 2^{134595430855200} is an apocalyptic number.

134595430855200 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 134595430855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294650298673920).

134595430855200 is an abundant number, since it is smaller than the sum of its proper divisors (454705166492640).

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

134595430855200 is a wasteful number, since it uses less digits than its factorization.

134595430855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22048 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 134595430855200 in words is "one hundred thirty-four trillion, five hundred ninety-five billion, four hundred thirty million, eight hundred fifty-five thousand, two hundred".