134206394572800 has 7056 divisors, whose sum is σ = 637882474783680. Its totient is φ = 27748152115200.

The previous prime is 134206394572787. The next prime is 134206394572807. The reversal of 134206394572800 is 8275493602431.

134206394572800 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 63 + 9 + 4 + 572 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×134206394572800² (a number of 29 digits) contains 22 as substring.

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 (134206394572807) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 5835060633589 + ... + 5835060633611.

It is a 1-persistent number, because it is pandigital, but 2⋅134206394572800 = 268412789145600 is not.

Almost surely, 2^{134206394572800} is an apocalyptic number.

134206394572800 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 134206394572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318941237391840).

134206394572800 is an abundant number, since it is smaller than the sum of its proper divisors (503676080210880).

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

134206394572800 is a wasteful number, since it uses less digits than its factorization.

134206394572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 134206394572800 in words is "one hundred thirty-four trillion, two hundred six billion, three hundred ninety-four million, five hundred seventy-two thousand, eight hundred".