135225072 has 80 divisors (see below), whose sum is σ = 411000480. Its totient is φ = 42421248.

The previous prime is 135225061. The next prime is 135225107. The reversal of 135225072 is 270522531.

135225072 is a `hidden beast` number, since 135 + 22 + 507 + 2 = 666.

135225072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (5137506).

Almost surely, 2^135225072 is an apocalyptic number.

135225072 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 135225072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205500240).

135225072 is an abundant number, since it is smaller than the sum of its proper divisors (275775408).

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

135225072 is a wasteful number, since it uses less digits than its factorization.

135225072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18447 (or 18435 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135225072 is about 11628.6315617961. The cubic root of 135225072 is about 513.2777129070.

The spelling of 135225072 in words is "one hundred thirty-five million, two hundred twenty-five thousand, seventy-two".