135504450 has 72 divisors (see below), whose sum is σ = 385492068. Its totient is φ = 34007040.

The previous prime is 135504407. The next prime is 135504451. The reversal of 135504450 is 54405531.

It can be written as a sum of positive squares in 6 ways, for example, as 102637161 + 32867289 = 10131^2 + 5733^2 .

It is a super-2 number, since 2×135504450² = 36722911939605000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135504451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1207 + ... + 16506.

Almost surely, 2^135504450 is an apocalyptic number.

135504450 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 135504450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192746034).

135504450 is an abundant number, since it is smaller than the sum of its proper divisors (249987618).

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

135504450 is a wasteful number, since it uses less digits than its factorization.

135504450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17748 (or 17740 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 135504450 is about 11640.6378691204. The cubic root of 135504450 is about 513.6309508017.

Adding to 135504450 its reverse (54405531), we get a palindrome (189909981).

The spelling of 135504450 in words is "one hundred thirty-five million, five hundred four thousand, four hundred fifty".