152307216 has 200 divisors, whose sum is σ = 483969024. Its totient is φ = 46033920.

The previous prime is 152307209. The next prime is 152307229. The reversal of 152307216 is 612703251.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152307216.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 682881 + ... + 683103.

Almost surely, 2^152307216 is an apocalyptic number.

152307216 is a gapful number since it is divisible by the number (16) 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 152307216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241984512).

152307216 is an abundant number, since it is smaller than the sum of its proper divisors (331661808).

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

152307216 is a wasteful number, since it uses less digits than its factorization.

152307216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 152307216 is about 12341.2809707907. The cubic root of 152307216 is about 534.0396385170.

The spelling of 152307216 in words is "one hundred fifty-two million, three hundred seven thousand, two hundred sixteen".