134126586000 has 960 divisors, whose sum is σ = 544809058560. Its totient is φ = 30412800000.

The previous prime is 134126585987. The next prime is 134126586023. The reversal of 134126586000 is 685621431.

It is a happy number.

134126586000 is a `hidden beast` number, since 1 + 3 + 41 + 2 + 6 + 5 + 8 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 379961824 + ... + 379962176.

It is an arithmetic number, because the mean of its divisors is an integer number (567509436).

Almost surely, 2^134126586000 is an apocalyptic number.

134126586000 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 134126586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272404529280).

134126586000 is an abundant number, since it is smaller than the sum of its proper divisors (410682472560).

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

134126586000 is a wasteful number, since it uses less digits than its factorization.

134126586000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 134126586000 in words is "one hundred thirty-four billion, one hundred twenty-six million, five hundred eighty-six thousand".