135265540 has 24 divisors (see below), whose sum is σ = 289419480. Its totient is φ = 53084928.

The previous prime is 135265523. The next prime is 135265547. The reversal of 135265540 is 45562531.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 132756484 = 1584^2 + 11522^2 .

It is a super-2 number, since 2×135265540² = 36593532622983200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135265547) 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 7 ways as a sum of consecutive naturals, for example, 62745 + ... + 64864.

It is an arithmetic number, because the mean of its divisors is an integer number (12059145).

Almost surely, 2^135265540 is an apocalyptic number.

135265540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135265540 is an abundant number, since it is smaller than the sum of its proper divisors (154153940).

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

135265540 is a wasteful number, since it uses less digits than its factorization.

135265540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127671 (or 127669 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 135265540 is about 11630.3714472067. The cubic root of 135265540 is about 513.3289096525.

The spelling of 135265540 in words is "one hundred thirty-five million, two hundred sixty-five thousand, five hundred forty".