135013000 has 128 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 50688000.

The previous prime is 135012971. The next prime is 135013001. The reversal of 135013000 is 310531.

It can be written as a sum of positive squares in 16 ways, for example, as 23794884 + 111218116 = 4878^2 + 10546^2 .

It is not an unprimeable number, because it can be changed into a prime (135013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516956 + ... + 1517044.

Almost surely, 2^135013000 is an apocalyptic number.

135013000 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 135013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

135013000 is an abundant number, since it is smaller than the sum of its proper divisors (201104600).

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

135013000 is a wasteful number, since it uses less digits than its factorization.

135013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 135013000 is about 11619.5094560829. The cubic root of 135013000 is about 513.0092499095.

Adding to 135013000 its reverse (310531), we get a palindrome (135323531).

The spelling of 135013000 in words is "one hundred thirty-five million, thirteen thousand".