134069318400 has 432 divisors, whose sum is σ = 464031300096. Its totient is φ = 34024488960.

The previous prime is 134069318387. The next prime is 134069318417. The reversal of 134069318400 is 4813960431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102892149 + ... + 102893451.

It is an arithmetic number, because the mean of its divisors is an integer number (1074146528).

Almost surely, 2^134069318400 is an apocalyptic number.

134069318400 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 134069318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232015650048).

134069318400 is an abundant number, since it is smaller than the sum of its proper divisors (329961981696).

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

134069318400 is a wasteful number, since it uses less digits than its factorization.

134069318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 134069318400 in words is "one hundred thirty-four billion, sixty-nine million, three hundred eighteen thousand, four hundred".