135312030 has 144 divisors (see below), whose sum is σ = 416785824. Its totient is φ = 30360960.

The previous prime is 135312029. The next prime is 135312031. The reversal of 135312030 is 30213531.

It is an interprime number because it is at equal distance from previous prime (135312029) and next prime (135312031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135311994 and 135312012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135312031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268759 + ... + 269261.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^135312030 is an apocalyptic number.

135312030 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 135312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

135312030 is an abundant number, since it is smaller than the sum of its proper divisors (281473794).

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

135312030 is a wasteful number, since it uses less digits than its factorization.

135312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135312030 is about 11632.3699219033. The cubic root of 135312030 is about 513.3877123293.

Adding to 135312030 its reverse (30213531), we get a palindrome (165525561).

The spelling of 135312030 in words is "one hundred thirty-five million, three hundred twelve thousand, thirty".