134701056000 has 1360 divisors, whose sum is σ = 593783087040. Its totient is φ = 29727129600.

The previous prime is 134701055963. The next prime is 134701056001. The reversal of 134701056000 is 650107431.

134701056000 is a `hidden beast` number, since 1 + 3 + 47 + 0 + 10 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134701056001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4644863986 + ... + 4644864014.

Almost surely, 2^134701056000 is an apocalyptic number.

134701056000 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 134701056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296891543520).

134701056000 is an abundant number, since it is smaller than the sum of its proper divisors (459082031040).

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

134701056000 is an frugal number, since it uses more digits than its factorization.

134701056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 134701056000 in words is "one hundred thirty-four billion, seven hundred one million, fifty-six thousand".