181361152 has 60 divisors (see below), whose sum is σ = 421588530. Its totient is φ = 77715456.

The previous prime is 181361123. The next prime is 181361183. The reversal of 181361152 is 251163181.

181361152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 94945536 + 86415616 = 9744^2 + 9296^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 181361152.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21474 + ... + 28702.

Almost surely, 2^181361152 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 181361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210794265).

181361152 is an abundant number, since it is smaller than the sum of its proper divisors (240227378).

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

181361152 is an frugal number, since it uses more digits than its factorization.

181361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7238 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 181361152 is about 13467.0394667870. The cubic root of 181361152 is about 566.0412594211.

The spelling of 181361152 in words is "one hundred eighty-one million, three hundred sixty-one thousand, one hundred fifty-two".