134065747200 has 1728 divisors, whose sum is σ = 591262156800. Its totient is φ = 25942425600.

The previous prime is 134065747181. The next prime is 134065747241. The reversal of 134065747200 is 2747560431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2272300771 + ... + 2272300829.

It is an arithmetic number, because the mean of its divisors is an integer number (342165600).

Almost surely, 2^134065747200 is an apocalyptic number.

134065747200 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 134065747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295631078400).

134065747200 is an abundant number, since it is smaller than the sum of its proper divisors (457196409600).

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

134065747200 is a wasteful number, since it uses less digits than its factorization.

134065747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 134065747200 in words is "one hundred thirty-four billion, sixty-five million, seven hundred forty-seven thousand, two hundred".