153006240 has 144 divisors (see below), whose sum is σ = 509247648. Its totient is φ = 38610432.

The previous prime is 153006223. The next prime is 153006241. The reversal of 153006240 is 42600351.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (153006241) 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 23 ways as a sum of consecutive naturals, for example, 172839 + ... + 173721.

It is an arithmetic number, because the mean of its divisors is an integer number (3536442).

Almost surely, 2^153006240 is an apocalyptic number.

153006240 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 153006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254623824).

153006240 is an abundant number, since it is smaller than the sum of its proper divisors (356241408).

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

153006240 is a wasteful number, since it uses less digits than its factorization.

153006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 153006240 is about 12369.5691113312. The cubic root of 153006240 is about 534.8553951630.

Adding to 153006240 its reverse (42600351), we get a palindrome (195606591).

The spelling of 153006240 in words is "one hundred fifty-three million, six thousand, two hundred forty".