135008000 has 72 divisors (see below), whose sum is σ = 336401520. Its totient is φ = 53990400.

The previous prime is 135007979. The next prime is 135008047. The reversal of 135008000 is 800531.

It is a self number, because there is not a number n which added to its sum of digits gives 135008000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29891 + ... + 34109.

Almost surely, 2^135008000 is an apocalyptic number.

135008000 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 135008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168200760).

135008000 is an abundant number, since it is smaller than the sum of its proper divisors (201393520).

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

135008000 is an frugal number, since it uses more digits than its factorization.

135008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 135008000 is about 11619.2942987085. The cubic root of 135008000 is about 513.0029169936.

Adding to 135008000 its reverse (800531), we get a palindrome (135808531).

The spelling of 135008000 in words is "one hundred thirty-five million, eight thousand".