135024300 has 144 divisors (see below), whose sum is σ = 444554880. Its totient is φ = 35138880.

The previous prime is 135024289. The next prime is 135024301. The reversal of 135024300 is 3420531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (135024301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115519 + ... + 116681.

Almost surely, 2^135024300 is an apocalyptic number.

135024300 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 135024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222277440).

135024300 is an abundant number, since it is smaller than the sum of its proper divisors (309530580).

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

135024300 is a wasteful number, since it uses less digits than its factorization.

135024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135024300 is about 11619.9956970732. The cubic root of 135024300 is about 513.0235617235.

Adding to 135024300 its reverse (3420531), we get a palindrome (138444831).

The spelling of 135024300 in words is "one hundred thirty-five million, twenty-four thousand, three hundred".