153214272 has 84 divisors (see below), whose sum is σ = 440876436. Its totient is φ = 50872320.

The previous prime is 153214241. The next prime is 153214291. The reversal of 153214272 is 272412351.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 38638656 = 10704^2 + 6216^2 .

It is a super-2 number, since 2×153214272² = 46949226288979968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 265248 + ... + 265824.

It is an arithmetic number, because the mean of its divisors is an integer number (5248529).

Almost surely, 2^153214272 is an apocalyptic number.

153214272 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 153214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220438218).

153214272 is an abundant number, since it is smaller than the sum of its proper divisors (287662164).

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

153214272 is a wasteful number, since it uses less digits than its factorization.

153214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 153214272 is about 12377.9752786956. The cubic root of 153214272 is about 535.0976873472.

The spelling of 153214272 in words is "one hundred fifty-three million, two hundred fourteen thousand, two hundred seventy-two".