134200566720 has 560 divisors, whose sum is σ = 522413581536. Its totient is φ = 32431104000.

The previous prime is 134200566719. The next prime is 134200566733. The reversal of 134200566720 is 27665002431.

134200566720 is a `hidden beast` number, since 1 + 3 + 4 + 20 + 0 + 566 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131439810 + ... + 131440830.

Almost surely, 2^134200566720 is an apocalyptic number.

134200566720 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 134200566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261206790768).

134200566720 is an abundant number, since it is smaller than the sum of its proper divisors (388213014816).

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

134200566720 is a wasteful number, since it uses less digits than its factorization.

134200566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 134200566720 in words is "one hundred thirty-four billion, two hundred million, five hundred sixty-six thousand, seven hundred twenty".