152688144 has 160 divisors (see below), whose sum is σ = 473112576. Its totient is φ = 41518080.

The previous prime is 152688143. The next prime is 152688149. The reversal of 152688144 is 441886251.

152688144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152688143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1114444 + ... + 1114580.

Almost surely, 2^152688144 is an apocalyptic number.

152688144 is a gapful number since it is divisible by the number (14) 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 152688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236556288).

152688144 is an abundant number, since it is smaller than the sum of its proper divisors (320424432).

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

152688144 is a wasteful number, since it uses less digits than its factorization.

152688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 152688144 is about 12356.7044150129. The cubic root of 152688144 is about 534.4844878491.

The spelling of 152688144 in words is "one hundred fifty-two million, six hundred eighty-eight thousand, one hundred forty-four".