135780030 has 64 divisors (see below), whose sum is σ = 374587200. Its totient is φ = 34957440.

The previous prime is 135780013. The next prime is 135780041. The reversal of 135780030 is 30087531.

It is a super-3 number, since 3×135780030³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135779976 and 135780003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (5852925).

Almost surely, 2^135780030 is an apocalyptic number.

135780030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135780030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187293600).

135780030 is an abundant number, since it is smaller than the sum of its proper divisors (238807170).

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

135780030 is a wasteful number, since it uses less digits than its factorization.

135780030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135780030 is about 11652.4688371177. The cubic root of 135780030 is about 513.9789112556.

The spelling of 135780030 in words is "one hundred thirty-five million, seven hundred eighty thousand, thirty".