135222400 has 48 divisors (see below), whose sum is σ = 334049490. Its totient is φ = 54087680.

The previous prime is 135222377. The next prime is 135222419. The reversal of 135222400 is 4222531.

It can be written as a sum of positive squares in 3 ways, for example, as 101767744 + 33454656 = 10088^2 + 5784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17929 + ... + 24328.

Almost surely, 2^135222400 is an apocalyptic number.

135222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135222400 is an abundant number, since it is smaller than the sum of its proper divisors (198827090).

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

135222400 is an equidigital number, since it uses as much as digits as its factorization.

135222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42281 (or 42264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 135222400 is about 11628.5166723878. The cubic root of 135222400 is about 513.2743321555.

Adding to 135222400 its reverse (4222531), we get a palindrome (139444931).

The spelling of 135222400 in words is "one hundred thirty-five million, two hundred twenty-two thousand, four hundred".