135303140 has 48 divisors (see below), whose sum is σ = 328406400. Its totient is φ = 45864192.

The previous prime is 135303137. The next prime is 135303163. The reversal of 135303140 is 41303531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7031 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (6841800).

Almost surely, 2^135303140 is an apocalyptic number.

135303140 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 135303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164203200).

135303140 is an abundant number, since it is smaller than the sum of its proper divisors (193103260).

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

135303140 is a wasteful number, since it uses less digits than its factorization.

135303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10962 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 135303140 is about 11631.9877922907. The cubic root of 135303140 is about 513.3764688926.

Adding to 135303140 its reverse (41303531), we get a palindrome (176606671).

The spelling of 135303140 in words is "one hundred thirty-five million, three hundred three thousand, one hundred forty".