153045312 has 112 divisors (see below), whose sum is σ = 482998272. Its totient is φ = 41817600.

The previous prime is 153045311. The next prime is 153045317. The reversal of 153045312 is 213540351.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153045311) 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 15 ways as a sum of consecutive naturals, for example, 28437 + ... + 33387.

Almost surely, 2^153045312 is an apocalyptic number.

153045312 is a gapful number since it is divisible by the number (12) 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 153045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241499136).

153045312 is an abundant number, since it is smaller than the sum of its proper divisors (329952960).

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

153045312 is a wasteful number, since it uses less digits than its factorization.

153045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 153045312 is about 12371.1483703010. The cubic root of 153045312 is about 534.9009185600.

Adding to 153045312 its reverse (213540351), we get a palindrome (366585663).

The spelling of 153045312 in words is "one hundred fifty-three million, forty-five thousand, three hundred twelve".