135630300 has 144 divisors (see below), whose sum is σ = 428722560. Its totient is φ = 32904960.

The previous prime is 135630293. The next prime is 135630307. The reversal of 135630300 is 3036531.

It is an interprime number because it is at equal distance from previous prime (135630293) and next prime (135630307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135630307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323491 + ... + 323909.

It is an arithmetic number, because the mean of its divisors is an integer number (2977240).

Almost surely, 2^135630300 is an apocalyptic number.

135630300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135630300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214361280).

135630300 is an abundant number, since it is smaller than the sum of its proper divisors (293092260).

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

135630300 is a wasteful number, since it uses less digits than its factorization.

135630300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 135630300 is about 11646.0422461882. The cubic root of 135630300 is about 513.7899134872.

Adding to 135630300 its reverse (3036531), we get a palindrome (138666831).

The spelling of 135630300 in words is "one hundred thirty-five million, six hundred thirty thousand, three hundred".