135174912 has 144 divisors (see below), whose sum is σ = 380282112. Its totient is φ = 42577920.

The previous prime is 135174889. The next prime is 135174913. The reversal of 135174912 is 219471531.

Its product of digits (7560) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (135174913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903837 + ... + 1903907.

It is an arithmetic number, because the mean of its divisors is an integer number (2640848).

Almost surely, 2^135174912 is an apocalyptic number.

135174912 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 135174912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190141056).

135174912 is an abundant number, since it is smaller than the sum of its proper divisors (245107200).

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

135174912 is an equidigital number, since it uses as much as digits as its factorization.

135174912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 135174912 is about 11626.4746161508. The cubic root of 135174912 is about 513.2142404711.

The spelling of 135174912 in words is "one hundred thirty-five million, one hundred seventy-four thousand, nine hundred twelve".