135936736 has 96 divisors (see below), whose sum is σ = 303464448. Its totient is φ = 59512320.

The previous prime is 135936719. The next prime is 135936751. The reversal of 135936736 is 637639531.

It is a junction number, because it is equal to n+sod(n) for n = 135936692 and 135936701.

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 15 ways as a sum of consecutive naturals, for example, 1070305 + ... + 1070431.

It is an arithmetic number, because the mean of its divisors is an integer number (3161088).

Almost surely, 2^135936736 is an apocalyptic number.

135936736 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 135936736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151732224).

135936736 is an abundant number, since it is smaller than the sum of its proper divisors (167527712).

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

135936736 is a wasteful number, since it uses less digits than its factorization.

135936736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 306180, while the sum is 43.

The square root of 135936736 is about 11659.1910525559. The cubic root of 135936736 is about 514.1765657844.

The spelling of 135936736 in words is "one hundred thirty-five million, nine hundred thirty-six thousand, seven hundred thirty-six".