134056642000 has 80 divisors (see below), whose sum is σ = 325829426832. Its totient is φ = 53344665600.

The previous prime is 134056641997. The next prime is 134056642021. The reversal of 134056642000 is 246650431.

It can be written as a sum of positive squares in 8 ways, for example, as 28880963136 + 105175678864 = 169944^2 + 324308^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212352 + ... + 559648.

Almost surely, 2^134056642000 is an apocalyptic number.

134056642000 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 134056642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162914713416).

134056642000 is an abundant number, since it is smaller than the sum of its proper divisors (191772784832).

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

134056642000 is a wasteful number, since it uses less digits than its factorization.

134056642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347513 (or 347497 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 134056642000 in words is "one hundred thirty-four billion, fifty-six million, six hundred forty-two thousand".