135027536 has 60 divisors (see below), whose sum is σ = 306546228. Its totient is φ = 57447936.

The previous prime is 135027533. The next prime is 135027539. The reversal of 135027536 is 635720531.

It is an interprime number because it is at equal distance from previous prime (135027533) and next prime (135027539).

It can be written as a sum of positive squares in 2 ways, for example, as 38987536 + 96040000 = 6244^2 + 9800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135027533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122540 + ... + 123636.

Almost surely, 2^135027536 is an apocalyptic number.

135027536 is a gapful number since it is divisible by the number (16) 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 135027536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153273114).

135027536 is an abundant number, since it is smaller than the sum of its proper divisors (171518692).

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

135027536 is a wasteful number, since it uses less digits than its factorization.

135027536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 135027536 is about 11620.1349389755. The cubic root of 135027536 is about 513.0276600746.

The spelling of 135027536 in words is "one hundred thirty-five million, twenty-seven thousand, five hundred thirty-six".