134025734304 has 864 divisors, whose sum is σ = 518408916480. Its totient is φ = 31819392000.

The previous prime is 134025734243. The next prime is 134025734321. The reversal of 134025734304 is 403437520431.

134025734304 is a `hidden beast` number, since 1 + 3 + 40 + 2 + 573 + 43 + 0 + 4 = 666.

134025734304 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 404911419 + ... + 404911749.

It is an arithmetic number, because the mean of its divisors is an integer number (600010320).

Almost surely, 2^134025734304 is an apocalyptic number.

134025734304 is a gapful number since it is divisible by the number (14) 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 134025734304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259204458240).

134025734304 is an abundant number, since it is smaller than the sum of its proper divisors (384383182176).

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

134025734304 is a wasteful number, since it uses less digits than its factorization.

134025734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 134025734304 in words is "one hundred thirty-four billion, twenty-five million, seven hundred thirty-four thousand, three hundred four".