135782712 has 72 divisors (see below), whose sum is σ = 398244600. Its totient is φ = 41775552.

The previous prime is 135782687. The next prime is 135782719. The reversal of 135782712 is 217287531.

135782712 is a `hidden beast` number, since 13 + 578 + 2 + 71 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135782719) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6589 + ... + 17747.

It is an arithmetic number, because the mean of its divisors is an integer number (5531175).

Almost surely, 2^135782712 is an apocalyptic number.

135782712 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 135782712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199122300).

135782712 is an abundant number, since it is smaller than the sum of its proper divisors (262461888).

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

135782712 is a wasteful number, since it uses less digits than its factorization.

135782712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11197 (or 11177 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 135782712 is about 11652.5839194575. The cubic root of 135782712 is about 513.9822953624.

It can be divided in two parts, 13578 and 2712, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 135782712 in words is "one hundred thirty-five million, seven hundred eighty-two thousand, seven hundred twelve".