135506448 has 240 divisors, whose sum is σ = 481433472. Its totient is φ = 34848000.

The previous prime is 135506419. The next prime is 135506453. The reversal of 135506448 is 844605531.

It is a happy number.

135506448 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 0 + 644 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341598 + ... + 1341698.

Almost surely, 2^135506448 is an apocalyptic number.

135506448 is a gapful number since it is divisible by the number (18) 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 135506448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240716736).

135506448 is an abundant number, since it is smaller than the sum of its proper divisors (345927024).

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

135506448 is a wasteful number, since it uses less digits than its factorization.

135506448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 135506448 is about 11640.7236888434. The cubic root of 135506448 is about 513.6334752688.

The spelling of 135506448 in words is "one hundred thirty-five million, five hundred six thousand, four hundred forty-eight".