135468120 has 32 divisors (see below), whose sum is σ = 406404720. Its totient is φ = 36124800.

The previous prime is 135468107. The next prime is 135468167. The reversal of 135468120 is 21864531.

135468120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135468120² = 36703223072668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564331 + ... + 564570.

Almost surely, 2^135468120 is an apocalyptic number.

135468120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135468120 is an abundant number, since it is smaller than the sum of its proper divisors (270936600).

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

135468120 is a wasteful number, since it uses less digits than its factorization.

135468120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128915 (or 1128911 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 135468120 is about 11639.0772830152. The cubic root of 135468120 is about 513.5850436246.

The spelling of 135468120 in words is "one hundred thirty-five million, four hundred sixty-eight thousand, one hundred twenty".