151728 has 40 divisors (see below), whose sum is σ = 409200. Its totient is φ = 48384.

The previous prime is 151717. The next prime is 151729. The reversal of 151728 is 827151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 151698 and 151707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151729) 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, 1338 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

151728 is a Friedman number, since it can be written as (871^2-1)/5, using all its digits and the basic arithmetic operations.

2¹⁵¹⁷²⁸ 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 151728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204600).

151728 is an abundant number, since it is smaller than the sum of its proper divisors (257472).

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

151728 is a wasteful number, since it uses less digits than its factorization.

151728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 151728 is about 389.5227849562. The cubic root of 151728 is about 53.3361804036.

Adding to 151728 its reverse (827151), we get a palindrome (978879).

The spelling of 151728 in words is "one hundred fifty-one thousand, seven hundred twenty-eight".