153846048 has 48 divisors (see below), whose sum is σ = 406558656. Its totient is φ = 50937600.

The previous prime is 153846031. The next prime is 153846067. The reversal of 153846048 is 840648351.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 153845997 and 153846015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9190 + ... + 19802.

It is an arithmetic number, because the mean of its divisors is an integer number (8469972).

Almost surely, 2^153846048 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 153846048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203279328).

153846048 is an abundant number, since it is smaller than the sum of its proper divisors (252712608).

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

153846048 is a wasteful number, since it uses less digits than its factorization.

153846048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10769 counting only the distinct ones).

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

The square root of 153846048 is about 12403.4691921252. The cubic root of 153846048 is about 535.8321669529.

It can be divided in two parts, 1538 and 46048, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 153846048 in words is "one hundred fifty-three million, eight hundred forty-six thousand, forty-eight".