135936576 has 112 divisors (see below), whose sum is σ = 404246080. Its totient is φ = 44789760.

The previous prime is 135936571. The next prime is 135936587. The reversal of 135936576 is 675639531.

135936576 is a `hidden beast` number, since 1 + 3 + 593 + 6 + 57 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135936571) 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, 167211 + ... + 168021.

It is an arithmetic number, because the mean of its divisors is an integer number (3609340).

Almost surely, 2^135936576 is an apocalyptic number.

135936576 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 135936576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202123040).

135936576 is an abundant number, since it is smaller than the sum of its proper divisors (268309504).

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

135936576 is an equidigital number, since it uses as much as digits as its factorization.

135936576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 913 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 135936576 is about 11659.1841910144. The cubic root of 135936576 is about 514.1763640526.

The spelling of 135936576 in words is "one hundred thirty-five million, nine hundred thirty-six thousand, five hundred seventy-six".