153144960 has 192 divisors, whose sum is σ = 510481440. Its totient is φ = 39045120.

The previous prime is 153144913. The next prime is 153144977. The reversal of 153144960 is 69441351.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1845079 + ... + 1845161.

Almost surely, 2^153144960 is an apocalyptic number.

153144960 is a gapful number since it is divisible by the number (10) 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 153144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255240720).

153144960 is an abundant number, since it is smaller than the sum of its proper divisors (357336480).

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

153144960 is an equidigital number, since it uses as much as digits as its factorization.

153144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 153144960 is about 12375.1751502757. The cubic root of 153144960 is about 535.0169849326.

The spelling of 153144960 in words is "one hundred fifty-three million, one hundred forty-four thousand, nine hundred sixty".