135366920 has 64 divisors (see below), whose sum is σ = 347321520. Its totient is φ = 47038464.

The previous prime is 135366899. The next prime is 135366923. The reversal of 135366920 is 29663531.

It can be written as a sum of positive squares in 8 ways, for example, as 10329796 + 125037124 = 3214^2 + 11182^2 .

It is not an unprimeable number, because it can be changed into a prime (135366923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184 + ... + 16496.

Almost surely, 2^135366920 is an apocalyptic number.

135366920 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 135366920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

135366920 is an abundant number, since it is smaller than the sum of its proper divisors (211954600).

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

135366920 is a wasteful number, since it uses less digits than its factorization.

135366920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 135366920 is about 11634.7290471244. The cubic root of 135366920 is about 513.4571223735.

The spelling of 135366920 in words is "one hundred thirty-five million, three hundred sixty-six thousand, nine hundred twenty".