135056430630 has 96 divisors (see below), whose sum is σ = 383870223360. Its totient is φ = 32672485440.

The previous prime is 135056430599. The next prime is 135056430659. The reversal of 135056430630 is 36034650531.

135056430630 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 643 + 0 + 6 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331809 + ... + 616611.

It is an arithmetic number, because the mean of its divisors is an integer number (3998648160).

Almost surely, 2^135056430630 is an apocalyptic number.

135056430630 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 135056430630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191935111680).

135056430630 is an abundant number, since it is smaller than the sum of its proper divisors (248813792730).

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

135056430630 is a wasteful number, since it uses less digits than its factorization.

135056430630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285306 (or 285303 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 135056430630 in words is "one hundred thirty-five billion, fifty-six million, four hundred thirty thousand, six hundred thirty".