135135300 has 36 divisors (see below), whose sum is σ = 390992336. Its totient is φ = 36036000.

The previous prime is 135135271. The next prime is 135135361. The reversal of 135135300 is 3531531.

It is a happy number.

It is a super-3 number, since 3×135135300³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224926 + ... + 225525.

Almost surely, 2^135135300 is an apocalyptic number.

135135300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135135300 is an abundant number, since it is smaller than the sum of its proper divisors (255857036).

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

135135300 is a wasteful number, since it uses less digits than its factorization.

135135300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450468 (or 450461 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 135135300 is about 11624.7709654857. The cubic root of 135135300 is about 513.1641043714.

Adding to 135135300 its reverse (3531531), we get a palindrome (138666831).

The spelling of 135135300 in words is "one hundred thirty-five million, one hundred thirty-five thousand, three hundred".