134718361600 has 351 divisors, whose sum is σ = 354765979071. Its totient is φ = 50739609600.

The previous prime is 134718361597. The next prime is 134718361601. The reversal of 134718361600 is 6163817431.

The square root of 134718361600 is 367040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12788895744 + 121929465856 = 113088^2 + 349184^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (134718361601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3641036782 + ... + 3641036818.

Almost surely, 2^134718361600 is an apocalyptic number.

134718361600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134718361600 is the 367040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134718361600

134718361600 is an abundant number, since it is smaller than the sum of its proper divisors (220047617471).

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

134718361600 is an frugal number, since it uses more digits than its factorization.

134718361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 134718361600 in words is "one hundred thirty-four billion, seven hundred eighteen million, three hundred sixty-one thousand, six hundred".