152032144 has 60 divisors (see below), whose sum is σ = 329510160. Its totient is φ = 67934240.

The previous prime is 152032099. The next prime is 152032159. The reversal of 152032144 is 441230251.

It is a super-2 number, since 2×152032144² = 46227545618473472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2576787 + ... + 2576845.

It is an arithmetic number, because the mean of its divisors is an integer number (5491836).

Almost surely, 2^152032144 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 152032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164755080).

152032144 is an abundant number, since it is smaller than the sum of its proper divisors (177478016).

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

152032144 is an frugal number, since it uses more digits than its factorization.

152032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 152032144 is about 12330.1315483656. The cubic root of 152032144 is about 533.7179468747.

Adding to 152032144 its reverse (441230251), we get a palindrome (593262395).

The spelling of 152032144 in words is "one hundred fifty-two million, thirty-two thousand, one hundred forty-four".