135846048 has 192 divisors, whose sum is σ = 429287040. Its totient is φ = 37158912.

The previous prime is 135846047. The next prime is 135846059. The reversal of 135846048 is 840648531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 135845997 and 135846015.

It is not an unprimeable number, because it can be changed into a prime (135846047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402936 + ... + 403272.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^135846048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135846048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

135846048 is an abundant number, since it is smaller than the sum of its proper divisors (293440992).

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

135846048 is a wasteful number, since it uses less digits than its factorization.

135846048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 135846048 is about 11655.3012831072. The cubic root of 135846048 is about 514.0621988148.

The spelling of 135846048 in words is "one hundred thirty-five million, eight hundred forty-six thousand, forty-eight".