135330000 has 200 divisors, whose sum is σ = 471823968. Its totient is φ = 33216000.

The previous prime is 135329993. The next prime is 135330007. The reversal of 135330000 is 33531.

135330000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135329993) and next prime (135330007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135330007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389827 + ... + 390173.

Almost surely, 2^135330000 is an apocalyptic number.

135330000 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 135330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235911984).

135330000 is an abundant number, since it is smaller than the sum of its proper divisors (336493968).

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

135330000 is a wasteful number, since it uses less digits than its factorization.

135330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 135330000 is about 11633.1423097975. The cubic root of 135330000 is about 513.4104379973.

Adding to 135330000 its reverse (33531), we get a palindrome (135363531).

The spelling of 135330000 in words is "one hundred thirty-five million, three hundred thirty thousand".