153968248 has 64 divisors (see below), whose sum is σ = 356774400. Its totient is φ = 60808320.

The previous prime is 153968239. The next prime is 153968249. The reversal of 153968248 is 842869351.

It is a junction number, because it is equal to n+sod(n) for n = 153968198 and 153968207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153968249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37413 + ... + 41323.

It is an arithmetic number, because the mean of its divisors is an integer number (5574600).

Almost surely, 2^153968248 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 153968248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178387200).

153968248 is an abundant number, since it is smaller than the sum of its proper divisors (202806152).

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

153968248 is a wasteful number, since it uses less digits than its factorization.

153968248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3976 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 153968248 is about 12408.3942555030. The cubic root of 153968248 is about 535.9740000012.

The spelling of 153968248 in words is "one hundred fifty-three million, nine hundred sixty-eight thousand, two hundred forty-eight".