135528780 has 96 divisors (see below), whose sum is σ = 399510720. Its totient is φ = 34283520.

The previous prime is 135528779. The next prime is 135528781. The reversal of 135528780 is 87825531.

It is an interprime number because it is at equal distance from previous prime (135528779) and next prime (135528781).

It is not an unprimeable number, because it can be changed into a prime (135528781) 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 31 ways as a sum of consecutive naturals, for example, 90276 + ... + 91764.

It is an arithmetic number, because the mean of its divisors is an integer number (4161570).

Almost surely, 2^135528780 is an apocalyptic number.

135528780 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 135528780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199755360).

135528780 is an abundant number, since it is smaller than the sum of its proper divisors (263981940).

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

135528780 is a wasteful number, since it uses less digits than its factorization.

135528780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 135528780 is about 11641.6828680393. The cubic root of 135528780 is about 513.6616899968.

It can be divided in two parts, 1355 and 28780, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 135528780 in words is "one hundred thirty-five million, five hundred twenty-eight thousand, seven hundred eighty".