134265065256306 has 192 divisors, whose sum is σ = 307349624365056. Its totient is φ = 43917797851200.

The previous prime is 134265065256293. The next prime is 134265065256313. The reversal of 134265065256306 is 603652560562431.

It is a happy number.

134265065256306 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 6 + 50 + 6 + 525 + 63 + 0 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35120339511 + ... + 35120343333.

It is an arithmetic number, because the mean of its divisors is an integer number (1600779293568).

Almost surely, 2^{134265065256306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134265065256306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153674812182528).

134265065256306 is an abundant number, since it is smaller than the sum of its proper divisors (173084559108750).

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

134265065256306 is a wasteful number, since it uses less digits than its factorization.

134265065256306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 134265065256306 in words is "one hundred thirty-four trillion, two hundred sixty-five billion, sixty-five million, two hundred fifty-six thousand, three hundred six".