135332000 has 96 divisors (see below), whose sum is σ = 347203584. Its totient is φ = 51744000.

The previous prime is 135331997. The next prime is 135332011. The reversal of 135332000 is 233531.

It is a self number, because there is not a number n which added to its sum of digits gives 135332000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91265 + ... + 92735.

It is an arithmetic number, because the mean of its divisors is an integer number (3616704).

Almost surely, 2^135332000 is an apocalyptic number.

135332000 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 135332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173601792).

135332000 is an abundant number, since it is smaller than the sum of its proper divisors (211871584).

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

135332000 is a wasteful number, since it uses less digits than its factorization.

135332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 135332000 is about 11633.2282707768. The cubic root of 135332000 is about 513.4129671626.

Adding to 135332000 its reverse (233531), we get a palindrome (135565531).

The spelling of 135332000 in words is "one hundred thirty-five million, three hundred thirty-two thousand".