135333300 has 72 divisors (see below), whose sum is σ = 397467616. Its totient is φ = 35544960.

The previous prime is 135333299. The next prime is 135333301. The reversal of 135333300 is 3333531.

It is an interprime number because it is at equal distance from previous prime (135333299) and next prime (135333301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135333301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16734 + ... + 23466.

Almost surely, 2^135333300 is an apocalyptic number.

135333300 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 135333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198733808).

135333300 is an abundant number, since it is smaller than the sum of its proper divisors (262134316).

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

135333300 is a wasteful number, since it uses less digits than its factorization.

135333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 21.

The square root of 135333300 is about 11633.2841450727. The cubic root of 135333300 is about 513.4146111067.

Adding to 135333300 its reverse (3333531), we get a palindrome (138666831).

The spelling of 135333300 in words is "one hundred thirty-five million, three hundred thirty-three thousand, three hundred".