135135100 has 36 divisors (see below), whose sum is σ = 301176904. Its totient is φ = 52591680.

The previous prime is 135135079. The next prime is 135135113. The reversal of 135135100 is 1531531.

It is a super-2 number, since 2×135135100² = 36522990504020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14562 + ... + 21961.

Almost surely, 2^135135100 is an apocalyptic number.

135135100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135135100 is an abundant number, since it is smaller than the sum of its proper divisors (166041804).

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

135135100 is a wasteful number, since it uses less digits than its factorization.

135135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36574 (or 36567 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 135135100 is about 11624.7623631625. The cubic root of 135135100 is about 513.1638512106.

Adding to 135135100 its reverse (1531531), we get a palindrome (136666631).

The spelling of 135135100 in words is "one hundred thirty-five million, one hundred thirty-five thousand, one hundred".