153142304 has 48 divisors (see below), whose sum is σ = 348763968. Its totient is φ = 64833792.

The previous prime is 153142291. The next prime is 153142313. The reversal of 153142304 is 403241351.

It is a self number, because there is not a number n which added to its sum of digits gives 153142304.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14474 + ... + 22710.

It is an arithmetic number, because the mean of its divisors is an integer number (7265916).

Almost surely, 2^153142304 is an apocalyptic number.

153142304 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 153142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174381984).

153142304 is an abundant number, since it is smaller than the sum of its proper divisors (195621664).

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

153142304 is an equidigital number, since it uses as much as digits as its factorization.

153142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 153142304 is about 12375.0678381979. The cubic root of 153142304 is about 535.0138919734.

Adding to 153142304 its reverse (403241351), we get a palindrome (556383655).

The spelling of 153142304 in words is "one hundred fifty-three million, one hundred forty-two thousand, three hundred four".