134158084928640 has 768 divisors, whose sum is σ = 484597174763520. Its totient is φ = 35465785749504.

The previous prime is 134158084928587. The next prime is 134158084928641. The reversal of 134158084928640 is 46829480851431.

It is a happy number.

134158084928640 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 5 + 80 + 8 + 492 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×134158084928640² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134158084928641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9947207977 + ... + 9947221463.

It is an arithmetic number, because the mean of its divisors is an integer number (630985904640).

Almost surely, 2^{134158084928640} is an apocalyptic number.

134158084928640 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 134158084928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242298587381760).

134158084928640 is an abundant number, since it is smaller than the sum of its proper divisors (350439089834880).

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

134158084928640 is a wasteful number, since it uses less digits than its factorization.

134158084928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14071 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 134158084928640 in words is "one hundred thirty-four trillion, one hundred fifty-eight billion, eighty-four million, nine hundred twenty-eight thousand, six hundred forty".