361152 has 112 divisors (see below), whose sum is σ = 1219200. Its totient is φ = 103680.

The previous prime is 361111. The next prime is 361159. The reversal of 361152 is 251163.

361152 is a `hidden beast` number, since 3 + 611 + 52 = 666.

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 (361159) by changing a digit.

361152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18999 + ... + 19017.

2³⁶¹¹⁵² is an apocalyptic number.

361152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609600).

361152 is an abundant number, since it is smaller than the sum of its proper divisors (858048).

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

361152 is a wasteful number, since it uses less digits than its factorization.

361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 361152 is about 600.9592332263. The cubic root of 361152 is about 71.2136656848.

It can be divided in two parts, 3611 and 52, that added together give a palindrome (3663).

The spelling of 361152 in words is "three hundred sixty-one thousand, one hundred fifty-two".