134268405300 has 288 divisors, whose sum is σ = 439171891200. Its totient is φ = 35184240000.

The previous prime is 134268405289. The next prime is 134268405343. The reversal of 134268405300 is 3504862431.

134268405300 is a `hidden beast` number, since 1 + 3 + 42 + 6 + 84 + 0 + 530 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68819325 + ... + 68821275.

It is an arithmetic number, because the mean of its divisors is an integer number (1524902400).

Almost surely, 2^134268405300 is an apocalyptic number.

134268405300 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 134268405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585945600).

134268405300 is an abundant number, since it is smaller than the sum of its proper divisors (304903485900).

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

134268405300 is a wasteful number, since it uses less digits than its factorization.

134268405300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2391 counting only the distinct ones).

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

The spelling of 134268405300 in words is "one hundred thirty-four billion, two hundred sixty-eight million, four hundred five thousand, three hundred".