153729 has 24 divisors (see below), whose sum is σ = 249600. Its totient is φ = 90720.

The previous prime is 153719. The next prime is 153733. The reversal of 153729 is 927351.

153729 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 153729 - 2¹¹ = 151681 is a prime.

153729 is a lucky number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (153719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4944 + ... + 4974.

It is an arithmetic number, because the mean of its divisors is an integer number (10400).

2¹⁵³⁷²⁹ is an apocalyptic number.

153729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

153729 is a deficient number, since it is larger than the sum of its proper divisors (95871).

153729 is a wasteful number, since it uses less digits than its factorization.

153729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 153729 is about 392.0828993976. The cubic root of 153729 is about 53.5696243202.

The spelling of 153729 in words is "one hundred fifty-three thousand, seven hundred twenty-nine".