153728 has 16 divisors (see below), whose sum is σ = 306510. Its totient is φ = 76800.

The previous prime is 153719. The next prime is 153733. The reversal of 153728 is 827351.

153728 is nontrivially palindromic in base 7.

153728 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 64 = 392^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 153697 and 153706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 473 + ... + 728.

2¹⁵³⁷²⁸ is an apocalyptic number.

It is an amenable number.

153728 is a deficient number, since it is larger than the sum of its proper divisors (152782).

153728 is an equidigital number, since it uses as much as digits as its factorization.

153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 153728 is about 392.0816241550. The cubic root of 153728 is about 53.5695081640.

The spelling of 153728 in words is "one hundred fifty-three thousand, seven hundred twenty-eight".