153564 has 24 divisors (see below), whose sum is σ = 365568. Its totient is φ = 50160.

The previous prime is 153563. The next prime is 153589. The reversal of 153564 is 465351.

It is a d-powerful number, because it can be written as 1 + 5⁵ + 5⁷ + 3⁸ + 6³ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (15232).

2¹⁵³⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

153564 is an abundant number, since it is smaller than the sum of its proper divisors (212004).

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

153564 is a wasteful number, since it uses less digits than its factorization.

153564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 153564 is about 391.8724282212. The cubic root of 153564 is about 53.5504517237.

It can be divided in two parts, 153 and 564, that added together give a palindrome (717).

The spelling of 153564 in words is "one hundred fifty-three thousand, five hundred sixty-four".