152504144 has 120 divisors (see below), whose sum is σ = 351748320. Its totient is φ = 63608832.

The previous prime is 152504129. The next prime is 152504167. The reversal of 152504144 is 441405251.

152504144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 23 ways as a sum of consecutive naturals, for example, 2584787 + ... + 2584845.

It is an arithmetic number, because the mean of its divisors is an integer number (2931236).

Almost surely, 2^152504144 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 152504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175874160).

152504144 is an abundant number, since it is smaller than the sum of its proper divisors (199244176).

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

152504144 is a wasteful number, since it uses less digits than its factorization.

152504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 152504144 is about 12349.2568197443. The cubic root of 152504144 is about 534.2697043609.

Adding to 152504144 its reverse (441405251), we get a palindrome (593909395).

The spelling of 152504144 in words is "one hundred fifty-two million, five hundred four thousand, one hundred forty-four".