134834004000 has 1536 divisors, whose sum is σ = 565187051520. Its totient is φ = 31021056000.

The previous prime is 134834003989. The next prime is 134834004029. The reversal of 134834004000 is 400438431.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1309067949 + ... + 1309068051.

It is an arithmetic number, because the mean of its divisors is an integer number (367960320).

Almost surely, 2^134834004000 is an apocalyptic number.

134834004000 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 134834004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282593525760).

134834004000 is an abundant number, since it is smaller than the sum of its proper divisors (430353047520).

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

134834004000 is a wasteful number, since it uses less digits than its factorization.

134834004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 134834004000 in words is "one hundred thirty-four billion, eight hundred thirty-four million, four thousand".