135779520 has 112 divisors (see below), whose sum is σ = 437741568. Its totient is φ = 35650560.

The previous prime is 135779519. The next prime is 135779531. The reversal of 135779520 is 25977531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63265 + ... + 65375.

Almost surely, 2^135779520 is an apocalyptic number.

135779520 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 135779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218870784).

135779520 is an abundant number, since it is smaller than the sum of its proper divisors (301962048).

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

135779520 is a wasteful number, since it uses less digits than its factorization.

135779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 135779520 is about 11652.4469533227. The cubic root of 135779520 is about 513.9782677403.

The spelling of 135779520 in words is "one hundred thirty-five million, seven hundred seventy-nine thousand, five hundred twenty".