134671959000 has 384 divisors, whose sum is σ = 461439763200. Its totient is φ = 35423539200.

The previous prime is 134671958987. The next prime is 134671959011. The reversal of 134671959000 is 959176431.

134671959000 is a `hidden beast` number, since 1 + 3 + 46 + 7 + 19 + 590 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294686772 + ... + 294687228.

It is an arithmetic number, because the mean of its divisors is an integer number (1201666050).

Almost surely, 2^134671959000 is an apocalyptic number.

134671959000 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 134671959000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230719881600).

134671959000 is an abundant number, since it is smaller than the sum of its proper divisors (326767804200).

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

134671959000 is a wasteful number, since it uses less digits than its factorization.

134671959000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 134671959000 in words is "one hundred thirty-four billion, six hundred seventy-one million, nine hundred fifty-nine thousand".