135390528 has 420 divisors, whose sum is σ = 515040372. Its totient is φ = 34836480.

The previous prime is 135390527. The next prime is 135390529. The reversal of 135390528 is 825093531.

It is an interprime number because it is at equal distance from previous prime (135390527) and next prime (135390529).

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 122943744 = 3528^2 + 11088^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 135390492 and 135390501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135390527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302188 + ... + 3302228.

Almost surely, 2^135390528 is an apocalyptic number.

135390528 is a gapful number since it is divisible by the number (18) 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 135390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257520186).

135390528 is an abundant number, since it is smaller than the sum of its proper divisors (379649844).

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

135390528 is a wasteful number, since it uses less digits than its factorization.

135390528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135390528 is about 11635.7435516601. The cubic root of 135390528 is about 513.4869696240.

The spelling of 135390528 in words is "one hundred thirty-five million, three hundred ninety thousand, five hundred twenty-eight".