153966848 has 72 divisors (see below), whose sum is σ = 354184320. Its totient is φ = 65433600.

The previous prime is 153966833. The next prime is 153966893. The reversal of 153966848 is 848669351.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 153966796 and 153966805.

It is a congruent number.

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, 270308 + ... + 270876.

Almost surely, 2^153966848 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 153966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177092160).

153966848 is an abundant number, since it is smaller than the sum of its proper divisors (200217472).

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

153966848 is an equidigital number, since it uses as much as digits as its factorization.

153966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The square root of 153966848 is about 12408.3378419513. The cubic root of 153966848 is about 535.9723754977.

The spelling of 153966848 in words is "one hundred fifty-three million, nine hundred sixty-six thousand, eight hundred forty-eight".