135589536 has 72 divisors (see below), whose sum is σ = 398047104. Its totient is φ = 43735680.

The previous prime is 135589511. The next prime is 135589537. The reversal of 135589536 is 635985531.

135589536 is a `hidden beast` number, since 1 + 3 + 558 + 95 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 135589491 and 135589500.

It is not an unprimeable number, because it can be changed into a prime (135589537) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1335 + ... + 16521.

It is an arithmetic number, because the mean of its divisors is an integer number (5528432).

Almost surely, 2^135589536 is an apocalyptic number.

135589536 is a gapful number since it is divisible by the number (16) 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 135589536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199023552).

135589536 is an abundant number, since it is smaller than the sum of its proper divisors (262457568).

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

135589536 is a wasteful number, since it uses less digits than its factorization.

135589536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15234 (or 15223 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 135589536 is about 11644.2919922166. The cubic root of 135589536 is about 513.7384347477.

The spelling of 135589536 in words is "one hundred thirty-five million, five hundred eighty-nine thousand, five hundred thirty-six".