135583272 has 96 divisors (see below), whose sum is σ = 403116480. Its totient is φ = 40826880.

The previous prime is 135583271. The next prime is 135583291. The reversal of 135583272 is 272385531.

It is a happy number.

135583272 is a `hidden beast` number, since 1 + 3 + 5 + 583 + 2 + 72 = 666.

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 (135583271) 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, 152413 + ... + 153299.

It is an arithmetic number, because the mean of its divisors is an integer number (4199130).

Almost surely, 2^135583272 is an apocalyptic number.

135583272 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 135583272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201558240).

135583272 is an abundant number, since it is smaller than the sum of its proper divisors (267533208).

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

135583272 is a wasteful number, since it uses less digits than its factorization.

135583272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1096 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 135583272 is about 11644.0230161229. The cubic root of 135583272 is about 513.7305233528.

The spelling of 135583272 in words is "one hundred thirty-five million, five hundred eighty-three thousand, two hundred seventy-two".