135654760 has 48 divisors (see below), whose sum is σ = 315476100. Its totient is φ = 52496640.

The previous prime is 135654749. The next prime is 135654767. The reversal of 135654760 is 67456531.

It can be written as a sum of positive squares in 2 ways, for example, as 123165604 + 12489156 = 11098^2 + 3534^2 .

It is not an unprimeable number, because it can be changed into a prime (135654767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36676 + ... + 40204.

Almost surely, 2^135654760 is an apocalyptic number.

135654760 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 135654760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157738050).

135654760 is an abundant number, since it is smaller than the sum of its proper divisors (179821340).

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

135654760 is a wasteful number, since it uses less digits than its factorization.

135654760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 135654760 is about 11647.0923410094. The cubic root of 135654760 is about 513.8207978002.

The spelling of 135654760 in words is "one hundred thirty-five million, six hundred fifty-four thousand, seven hundred sixty".