153671168 has 80 divisors (see below), whose sum is σ = 357968160. Its totient is φ = 64536576.

The previous prime is 153671113. The next prime is 153671171. The reversal of 153671168 is 861176351.

153671168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153671168² = 47229655748968448, which contains 22 as substring.

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, 189548 + ... + 190356.

It is an arithmetic number, because the mean of its divisors is an integer number (4474602).

Almost surely, 2^153671168 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 153671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178984080).

153671168 is an abundant number, since it is smaller than the sum of its proper divisors (204296992).

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

153671168 is an frugal number, since it uses more digits than its factorization.

153671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 871 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 153671168 is about 12396.4175470174. The cubic root of 153671168 is about 535.6290594546.

The spelling of 153671168 in words is "one hundred fifty-three million, six hundred seventy-one thousand, one hundred sixty-eight".