134073145600 has 243 divisors, whose sum is σ = 348659665473. Its totient is φ = 51039774720.

The previous prime is 134073145543. The next prime is 134073145601. The reversal of 134073145600 is 6541370431.

The square root of 134073145600 is 366160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48266332416 + 85806813184 = 219696^2 + 292928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134073145601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 673734301 + ... + 673734499.

Almost surely, 2^134073145600 is an apocalyptic number.

134073145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134073145600 is the 366160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134073145600

134073145600 is an abundant number, since it is smaller than the sum of its proper divisors (214586519873).

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

134073145600 is an frugal number, since it uses more digits than its factorization.

134073145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 134073145600 in words is "one hundred thirty-four billion, seventy-three million, one hundred forty-five thousand, six hundred".