135671382 has 128 divisors (see below), whose sum is σ = 382279680. Its totient is φ = 34642080.

The previous prime is 135671377. The next prime is 135671387. The reversal of 135671382 is 283176531.

135671382 is a `hidden beast` number, since 1 + 3 + 567 + 13 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (135671377) and next prime (135671387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135671387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278343 + ... + 278829.

It is an arithmetic number, because the mean of its divisors is an integer number (2986560).

Almost surely, 2^135671382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135671382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191139840).

135671382 is an abundant number, since it is smaller than the sum of its proper divisors (246608298).

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

135671382 is a wasteful number, since it uses less digits than its factorization.

135671382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135671382 is about 11647.8058878057. The cubic root of 135671382 is about 513.8417833778.

The spelling of 135671382 in words is "one hundred thirty-five million, six hundred seventy-one thousand, three hundred eighty-two".