152144000 has 128 divisors (see below), whose sum is σ = 390003120. Its totient is φ = 58982400.

The previous prime is 152143961. The next prime is 152144009. The reversal of 152144000 is 441251.

It can be written as a sum of positive squares in 8 ways, for example, as 68823616 + 83320384 = 8296^2 + 9128^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 152144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591872 + ... + 592128.

Almost surely, 2^152144000 is an apocalyptic number.

152144000 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 152144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195001560).

152144000 is an abundant number, since it is smaller than the sum of its proper divisors (237859120).

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

152144000 is an equidigital number, since it uses as much as digits as its factorization.

152144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 152144000 is about 12334.6665946024. Note that the first 3 decimals coincide. The cubic root of 152144000 is about 533.8488071826.

Adding to 152144000 its reverse (441251), we get a palindrome (152585251).

The spelling of 152144000 in words is "one hundred fifty-two million, one hundred forty-four thousand".