135041472 has 112 divisors (see below), whose sum is σ = 420441120. Its totient is φ = 42356736.

The previous prime is 135041471. The next prime is 135041507. The reversal of 135041472 is 274140531.

135041472 is a `hidden beast` number, since 13 + 504 + 147 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135041471) 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, 27078 + ... + 31674.

Almost surely, 2^135041472 is an apocalyptic number.

135041472 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 135041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210220560).

135041472 is an abundant number, since it is smaller than the sum of its proper divisors (285399648).

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

135041472 is a wasteful number, since it uses less digits than its factorization.

135041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 135041472 is about 11620.7345723065. The cubic root of 135041472 is about 513.0453090859.

The spelling of 135041472 in words is "one hundred thirty-five million, forty-one thousand, four hundred seventy-two".