135775620 has 72 divisors (see below), whose sum is σ = 417534936. Its totient is φ = 35707392.

The previous prime is 135775609. The next prime is 135775637. The reversal of 135775620 is 26577531.

135775620 is a `hidden beast` number, since 13 + 577 + 56 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 106874244 = 5376^2 + 10338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 7974 + ... + 18306.

Almost surely, 2^135775620 is an apocalyptic number.

135775620 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 135775620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208767468).

135775620 is an abundant number, since it is smaller than the sum of its proper divisors (281759316).

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

135775620 is a wasteful number, since it uses less digits than its factorization.

135775620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10421 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 135775620 is about 11652.2796052961. The cubic root of 135775620 is about 513.9733466878.

The spelling of 135775620 in words is "one hundred thirty-five million, seven hundred seventy-five thousand, six hundred twenty".