134600538240 has 1152 divisors, whose sum is σ = 594255916800. Its totient is φ = 28928212992.

The previous prime is 134600538229. The next prime is 134600538299. The reversal of 134600538240 is 42835006431.

134600538240 is a `hidden beast` number, since 1 + 3 + 4 + 600 + 5 + 3 + 8 + 2 + 40 = 666.

134600538240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 134600538195 and 134600538204.

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, 129547641 + ... + 129548679.

It is an arithmetic number, because the mean of its divisors is an integer number (515847150).

Almost surely, 2^134600538240 is an apocalyptic number.

134600538240 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 134600538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297127958400).

134600538240 is an abundant number, since it is smaller than the sum of its proper divisors (459655378560).

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

134600538240 is a wasteful number, since it uses less digits than its factorization.

134600538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 134600538240 in words is "one hundred thirty-four billion, six hundred million, five hundred thirty-eight thousand, two hundred forty".