152568416 has 144 divisors (see below), whose sum is σ = 407286432. Its totient is φ = 54743040.

The previous prime is 152568389. The next prime is 152568431. The reversal of 152568416 is 614865251.

It is a happy number.

152568416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152568416.

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 23 ways as a sum of consecutive naturals, for example, 352136 + ... + 352568.

It is an arithmetic number, because the mean of its divisors is an integer number (2828378).

Almost surely, 2^152568416 is an apocalyptic number.

152568416 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 152568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203643216).

152568416 is an abundant number, since it is smaller than the sum of its proper divisors (254718016).

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

152568416 is a wasteful number, since it uses less digits than its factorization.

152568416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 152568416 is about 12351.8588074832. The cubic root of 152568416 is about 534.3447487908.

The spelling of 152568416 in words is "one hundred fifty-two million, five hundred sixty-eight thousand, four hundred sixteen".