135579444 has 96 divisors (see below), whose sum is σ = 424790016. Its totient is φ = 32503680.

The previous prime is 135579439. The next prime is 135579467. The reversal of 135579444 is 444975531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 135579396 and 135579405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6369 + ... + 17655.

It is an arithmetic number, because the mean of its divisors is an integer number (4424896).

Almost surely, 2^135579444 is an apocalyptic number.

135579444 is a gapful number since it is divisible by the number (14) 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 135579444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212395008).

135579444 is an abundant number, since it is smaller than the sum of its proper divisors (289210572).

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

135579444 is a wasteful number, since it uses less digits than its factorization.

135579444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11323 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 135579444 is about 11643.8586387847. The cubic root of 135579444 is about 513.7256884915.

The spelling of 135579444 in words is "one hundred thirty-five million, five hundred seventy-nine thousand, four hundred forty-four".