134201413000 has 64 divisors (see below), whose sum is σ = 314649457200. Its totient is φ = 53574899200.

The previous prime is 134201412979. The next prime is 134201413001. The reversal of 134201413000 is 314102431.

It can be written as a sum of positive squares in 8 ways, for example, as 1779658596 + 132421754404 = 42186^2 + 363898^2 .

It is not an unprimeable number, because it can be changed into a prime (134201413001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 377172 + ... + 640828.

Almost surely, 2^134201413000 is an apocalyptic number.

134201413000 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 134201413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157324728600).

134201413000 is an abundant number, since it is smaller than the sum of its proper divisors (180448044200).

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

134201413000 is a wasteful number, since it uses less digits than its factorization.

134201413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264187 (or 264173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 134201413000 its reverse (314102431), we get a palindrome (134515515431).

The spelling of 134201413000 in words is "one hundred thirty-four billion, two hundred one million, four hundred thirteen thousand".