135582930 has 128 divisors (see below), whose sum is σ = 431308800. Its totient is φ = 29633472.

The previous prime is 135582929. The next prime is 135582947. The reversal of 135582930 is 39285531.

135582930 is a `hidden beast` number, since 13 + 558 + 2 + 93 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 41911 + ... + 45029.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2^135582930 is an apocalyptic number.

135582930 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 135582930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400).

135582930 is an abundant number, since it is smaller than the sum of its proper divisors (295725870).

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

135582930 is a wasteful number, since it uses less digits than its factorization.

135582930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135582930 is about 11644.0083304676. The cubic root of 135582930 is about 513.7300914018.

The spelling of 135582930 in words is "one hundred thirty-five million, five hundred eighty-two thousand, nine hundred thirty".