153438144 has 56 divisors (see below), whose sum is σ = 407413968. Its totient is φ = 50964480.

The previous prime is 153438133. The next prime is 153438151. The reversal of 153438144 is 441834351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59604 + ... + 62124.

Almost surely, 2^153438144 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 153438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203706984).

153438144 is an abundant number, since it is smaller than the sum of its proper divisors (253975824).

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

153438144 is a wasteful number, since it uses less digits than its factorization.

153438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2843 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 153438144 is about 12387.0151368278. The cubic root of 153438144 is about 535.3581832942.

The spelling of 153438144 in words is "one hundred fifty-three million, four hundred thirty-eight thousand, one hundred forty-four".