153504 has 72 divisors (see below), whose sum is σ = 481572. Its totient is φ = 46080.

The previous prime is 153499. The next prime is 153509. The reversal of 153504 is 405351.

It is an interprime number because it is at equal distance from previous prime (153499) and next prime (153509).

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 32400 = 348^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (153509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3724 + ... + 3764.

2¹⁵³⁵⁰⁴ 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 153504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240786).

153504 is an abundant number, since it is smaller than the sum of its proper divisors (328068).

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

153504 is a wasteful number, since it uses less digits than its factorization.

153504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 153504 is about 391.7958652155. The cubic root of 153504 is about 53.5434764655.

Adding to 153504 its reverse (405351), we get a palindrome (558855).

The spelling of 153504 in words is "one hundred fifty-three thousand, five hundred four".