135121224 has 96 divisors (see below), whose sum is σ = 397677600. Its totient is φ = 38142720.

The previous prime is 135121211. The next prime is 135121241. The reversal of 135121224 is 422121531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 135121224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104019 + ... + 105309.

It is an arithmetic number, because the mean of its divisors is an integer number (4142475).

Almost surely, 2^135121224 is an apocalyptic number.

135121224 is a gapful number since it is divisible by the number (14) 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 135121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198838800).

135121224 is an abundant number, since it is smaller than the sum of its proper divisors (262556376).

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

135121224 is a wasteful number, since it uses less digits than its factorization.

135121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1392 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 135121224 is about 11624.1655184362. The cubic root of 135121224 is about 513.1462863062.

Adding to 135121224 its reverse (422121531), we get a palindrome (557242755).

The spelling of 135121224 in words is "one hundred thirty-five million, one hundred twenty-one thousand, two hundred twenty-four".