135084672 has 192 divisors, whose sum is σ = 416576160. Its totient is φ = 43545600.

The previous prime is 135084667. The next prime is 135084679. The reversal of 135084672 is 276480531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135084679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337422 + ... + 1337522.

Almost surely, 2^135084672 is an apocalyptic number.

135084672 is a gapful number since it is divisible by the number (12) 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 135084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208288080).

135084672 is an abundant number, since it is smaller than the sum of its proper divisors (281491488).

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

135084672 is an equidigital number, since it uses as much as digits as its factorization.

135084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135084672 is about 11622.5931702009. The cubic root of 135084672 is about 513.1000112799.

The spelling of 135084672 in words is "one hundred thirty-five million, eighty-four thousand, six hundred seventy-two".