134845874257320 has 768 divisors, whose sum is σ = 466202045836800. Its totient is φ = 35041597194240.

The previous prime is 134845874257309. The next prime is 134845874257397. The reversal of 134845874257320 is 23752478548431.

134845874257320 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 4 + 58 + 7 + 4 + 2 + 573 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50147218536 + ... + 50147221224.

It is an arithmetic number, because the mean of its divisors is an integer number (607033913850).

Almost surely, 2^{134845874257320} is an apocalyptic number.

134845874257320 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 134845874257320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233101022918400).

134845874257320 is an abundant number, since it is smaller than the sum of its proper divisors (331356171579480).

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

134845874257320 is a wasteful number, since it uses less digits than its factorization.

134845874257320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 134845874257320 in words is "one hundred thirty-four trillion, eight hundred forty-five billion, eight hundred seventy-four million, two hundred fifty-seven thousand, three hundred twenty".