135549072 has 80 divisors (see below), whose sum is σ = 398178880. Its totient is φ = 44126208.

The previous prime is 135549031. The next prime is 135549077. The reversal of 135549072 is 270945531.

135549072 is a `hidden beast` number, since 13 + 554 + 90 + 7 + 2 = 666.

It is a super-2 number, since 2×135549072² = 36747101840122368, which contains 22 as substring.

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 (135549077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14928 + ... + 22224.

It is an arithmetic number, because the mean of its divisors is an integer number (4977236).

Almost surely, 2^135549072 is an apocalyptic number.

135549072 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 135549072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199089440).

135549072 is an abundant number, since it is smaller than the sum of its proper divisors (262629808).

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

135549072 is a wasteful number, since it uses less digits than its factorization.

135549072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135549072 is about 11642.5543589025. The cubic root of 135549072 is about 513.6873246574.

The spelling of 135549072 in words is "one hundred thirty-five million, five hundred forty-nine thousand, seventy-two".