152568 has 48 divisors (see below), whose sum is σ = 447720. Its totient is φ = 46656.

The previous prime is 152567. The next prime is 152597. The reversal of 152568 is 865251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855 + ... + 1017.

2¹⁵²⁵⁶⁸ is an apocalyptic number.

152568 is a gapful number since it is divisible by the number (18) 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 152568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223860).

152568 is an abundant number, since it is smaller than the sum of its proper divisors (295152).

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

152568 is a wasteful number, since it uses less digits than its factorization.

152568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 181 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 152568 is about 390.5995391702. The cubic root of 152568 is about 53.4344263134.

The spelling of 152568 in words is "one hundred fifty-two thousand, five hundred sixty-eight".