149568 has 56 divisors (see below), whose sum is σ = 426720. Its totient is φ = 46080.

The previous prime is 149563. The next prime is 149579. The reversal of 149568 is 865941.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3628 + ... + 3668.

It is an arithmetic number, because the mean of its divisors is an integer number (7620).

149568 is a Friedman number, since it can be written as ((4+1)^5-9)*8*6, using all its digits and the basic arithmetic operations.

2¹⁴⁹⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360).

149568 is an abundant number, since it is smaller than the sum of its proper divisors (277152).

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

149568 is a wasteful number, since it uses less digits than its factorization.

149568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 149568 is about 386.7402228887. The cubic root of 149568 is about 53.0818718020.

It can be divided in two parts, 149 and 568, that added together give a palindrome (717).

The spelling of 149568 in words is "one hundred forty-nine thousand, five hundred sixty-eight".