153291312 has 80 divisors (see below), whose sum is σ = 465907680. Its totient is φ = 48089088.

The previous prime is 153291301. The next prime is 153291319. The reversal of 153291312 is 213192351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153291319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3093 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (5823846).

Almost surely, 2^153291312 is an apocalyptic number.

153291312 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 153291312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232953840).

153291312 is an abundant number, since it is smaller than the sum of its proper divisors (312616368).

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

153291312 is a wasteful number, since it uses less digits than its factorization.

153291312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907 (or 20895 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 153291312 is about 12381.0868666689. The cubic root of 153291312 is about 535.1873591899.

It can be divided in two parts, 15329 and 1312, that added together give a square (16641 = 129²).

The spelling of 153291312 in words is "one hundred fifty-three million, two hundred ninety-one thousand, three hundred twelve".