135782920 has 144 divisors (see below), whose sum is σ = 388043460. Its totient is φ = 42384384.

The previous prime is 135782917. The next prime is 135782929. The reversal of 135782920 is 29287531.

135782920 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 6 ways, for example, as 41654116 + 94128804 = 6454^2 + 9702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135782920.

It is not an unprimeable number, because it can be changed into a prime (135782929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1860004 + ... + 1860076.

Almost surely, 2^135782920 is an apocalyptic number.

135782920 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 135782920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194021730).

135782920 is an abundant number, since it is smaller than the sum of its proper divisors (252260540).

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

135782920 is a wasteful number, since it uses less digits than its factorization.

135782920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 135782920 is about 11652.5928445132. The cubic root of 135782920 is about 513.9825578117.

The spelling of 135782920 in words is "one hundred thirty-five million, seven hundred eighty-two thousand, nine hundred twenty".