134064255600 has 480 divisors, whose sum is σ = 522692974080. Its totient is φ = 32366592000.

The previous prime is 134064255593. The next prime is 134064255601. The reversal of 134064255600 is 6552460431.

134064255600 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 6 + 42 + 5 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134064255601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30529405 + ... + 30533795.

It is an arithmetic number, because the mean of its divisors is an integer number (1088943696).

Almost surely, 2^134064255600 is an apocalyptic number.

134064255600 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 134064255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261346487040).

134064255600 is an abundant number, since it is smaller than the sum of its proper divisors (388628718480).

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

134064255600 is a wasteful number, since it uses less digits than its factorization.

134064255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 134064255600 in words is "one hundred thirty-four billion, sixty-four million, two hundred fifty-five thousand, six hundred".