135456030 has 64 divisors (see below), whose sum is σ = 362465280. Its totient is φ = 35996832.

The previous prime is 135456029. The next prime is 135456031. The reversal of 135456030 is 30654531.

135456030 is a `hidden beast` number, since 1 + 3 + 54 + 5 + 603 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135456029) and next prime (135456031).

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 = 135455985 and 135456003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135456031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98407 + ... + 99773.

It is an arithmetic number, because the mean of its divisors is an integer number (5663520).

Almost surely, 2^135456030 is an apocalyptic number.

135456030 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 135456030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181232640).

135456030 is an abundant number, since it is smaller than the sum of its proper divisors (227009250).

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

135456030 is a wasteful number, since it uses less digits than its factorization.

135456030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 135456030 is about 11638.5579003586. The cubic root of 135456030 is about 513.5697646844.

The spelling of 135456030 in words is "one hundred thirty-five million, four hundred fifty-six thousand, thirty".