135224100 has 288 divisors, whose sum is σ = 493718400. Its totient is φ = 31449600.

The previous prime is 135224093. The next prime is 135224143. The reversal of 135224100 is 1422531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 861222 + ... + 861378.

It is an arithmetic number, because the mean of its divisors is an integer number (1714300).

Almost surely, 2^135224100 is an apocalyptic number.

135224100 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 135224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246859200).

135224100 is an abundant number, since it is smaller than the sum of its proper divisors (358494300).

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

135224100 is a wasteful number, since it uses less digits than its factorization.

135224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135224100 is about 11628.5897683253. The cubic root of 135224100 is about 513.2764830879.

Adding to 135224100 its reverse (1422531), we get a palindrome (136646631).

It can be divided in two parts, 1352 and 24100, that added together give a palindrome (25452).

The spelling of 135224100 in words is "one hundred thirty-five million, two hundred twenty-four thousand, one hundred".