135410261382 has 320 divisors, whose sum is σ = 353551080960. Its totient is φ = 38505196800.

The previous prime is 135410261317. The next prime is 135410261407. The reversal of 135410261382 is 283162014531.

135410261382 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 10 + 261 + 382 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 514867783 + ... + 514868045.

It is an arithmetic number, because the mean of its divisors is an integer number (1104847128).

Almost surely, 2^135410261382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135410261382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176775540480).

135410261382 is an abundant number, since it is smaller than the sum of its proper divisors (218140819578).

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

135410261382 is an equidigital number, since it uses as much as digits as its factorization.

135410261382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 135410261382 in words is "one hundred thirty-five billion, four hundred ten million, two hundred sixty-one thousand, three hundred eighty-two".