135985752 has 96 divisors (see below), whose sum is σ = 439246080. Its totient is φ = 37160640.

The previous prime is 135985739. The next prime is 135985783. The reversal of 135985752 is 257589531.

135985752 is a `hidden beast` number, since 1 + 3 + 598 + 5 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135985698 and 135985707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5727 + ... + 17457.

It is an arithmetic number, because the mean of its divisors is an integer number (4575480).

Almost surely, 2^135985752 is an apocalyptic number.

135985752 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 135985752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219623040).

135985752 is an abundant number, since it is smaller than the sum of its proper divisors (303260328).

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

135985752 is a wasteful number, since it uses less digits than its factorization.

135985752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773 (or 11766 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 135985752 is about 11661.2928957299. The cubic root of 135985752 is about 514.2383588672.

The spelling of 135985752 in words is "one hundred thirty-five million, nine hundred eighty-five thousand, seven hundred fifty-two".