153229968 has 160 divisors (see below), whose sum is σ = 463660800. Its totient is φ = 48988800.

The previous prime is 153229963. The next prime is 153229991. The reversal of 153229968 is 869922351.

153229968 is a `hidden beast` number, since 1 + 532 + 29 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (153229963) 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, 1014693 + ... + 1014843.

It is an arithmetic number, because the mean of its divisors is an integer number (2897880).

Almost surely, 2^153229968 is an apocalyptic number.

153229968 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 153229968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231830400).

153229968 is an abundant number, since it is smaller than the sum of its proper divisors (310430832).

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

153229968 is an equidigital number, since it uses as much as digits as its factorization.

153229968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 153229968 is about 12378.6092918389. The cubic root of 153229968 is about 535.1159593754.

The spelling of 153229968 in words is "one hundred fifty-three million, two hundred twenty-nine thousand, nine hundred sixty-eight".