152704 has 16 divisors (see below), whose sum is σ = 304470. Its totient is φ = 76288.

The previous prime is 152681. The next prime is 152717. The reversal of 152704 is 407251.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 23104 = 360^2 + 152^2 .

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

It is an unprimeable number.

152704 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 469 + ... + 724.

2¹⁵²⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

152704 is a deficient number, since it is larger than the sum of its proper divisors (151766).

152704 is an equidigital number, since it uses as much as digits as its factorization.

152704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 152704 is about 390.7735917382. The cubic root of 152704 is about 53.4502988506.

Adding to 152704 its reverse (407251), we get a palindrome (559955).

The spelling of 152704 in words is "one hundred fifty-two thousand, seven hundred four".