134606914247520 has 1152 divisors, whose sum is σ = 568250557056000. Its totient is φ = 28526598144000.

The previous prime is 134606914247489. The next prime is 134606914247521. The reversal of 134606914247520 is 25742419606431.

134606914247520 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 0 + 6 + 9 + 142 + 475 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134606914247521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19370685006 + ... + 19370691954.

It is an arithmetic number, because the mean of its divisors is an integer number (493273053000).

Almost surely, 2^{134606914247520} is an apocalyptic number.

134606914247520 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 134606914247520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284125278528000).

134606914247520 is an abundant number, since it is smaller than the sum of its proper divisors (433643642808480).

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

134606914247520 is a wasteful number, since it uses less digits than its factorization.

134606914247520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11964 (or 11953 counting only the distinct ones).

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

The spelling of 134606914247520 in words is "one hundred thirty-four trillion, six hundred six billion, nine hundred fourteen million, two hundred forty-seven thousand, five hundred twenty".