153238144 has 32 divisors (see below), whose sum is σ = 318558240. Its totient is φ = 73286400.

The previous prime is 153238103. The next prime is 153238157. The reversal of 153238144 is 441832351.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23082 + ... + 28969.

It is an arithmetic number, because the mean of its divisors is an integer number (9954945).

Almost surely, 2^153238144 is an apocalyptic number.

It is an amenable number.

153238144 is an abundant number, since it is smaller than the sum of its proper divisors (165320096).

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

153238144 is an equidigital number, since it uses as much as digits as its factorization.

153238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52088 (or 52076 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 153238144 is about 12378.9395345482. The cubic root of 153238144 is about 535.1254767266.

The spelling of 153238144 in words is "one hundred fifty-three million, two hundred thirty-eight thousand, one hundred forty-four".