289153152 has 120 divisors (see below), whose sum is σ = 865698735. Its totient is φ = 95807232.

The previous prime is 289153147. The next prime is 289153247. The reversal of 289153152 is 251351982.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 144576576 + 144576576 = 12024^2 + 12024^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12024.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21600) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1731373 + ... + 1731539.

Almost surely, 2^289153152 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 289153152

289153152 is an abundant number, since it is smaller than the sum of its proper divisors (576545583).

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

289153152 is an frugal number, since it uses more digits than its factorization.

289153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 172 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 289153152 is about 17004.5038739741. The cubic root of 289153152 is about 661.2656704679.

The spelling of 289153152 in words is "two hundred eighty-nine million, one hundred fifty-three thousand, one hundred fifty-two".