135382580 has 48 divisors (see below), whose sum is σ = 298529280. Its totient is φ = 51504000.

The previous prime is 135382571. The next prime is 135382601. The reversal of 135382580 is 85283531.

It is a self number, because there is not a number n which added to its sum of digits gives 135382580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34730 + ... + 38430.

It is an arithmetic number, because the mean of its divisors is an integer number (6219360).

Almost surely, 2^135382580 is an apocalyptic number.

135382580 is a gapful number since it is divisible by the number (10) 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 135382580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149264640).

135382580 is an abundant number, since it is smaller than the sum of its proper divisors (163146700).

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

135382580 is a wasteful number, since it uses less digits than its factorization.

135382580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 135382580 is about 11635.4020128228. The cubic root of 135382580 is about 513.4769214708.

The spelling of 135382580 in words is "one hundred thirty-five million, three hundred eighty-two thousand, five hundred eighty".