361335132 has 144 divisors (see below), whose sum is σ = 990662400. Its totient is φ = 110822400.

The previous prime is 361335127. The next prime is 361335197. The reversal of 361335132 is 231533163.

It is a happy number.

361335132 is a `hidden beast` number, since 3 + 613 + 35 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361335096 and 361335105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424994 + ... + 2425142.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^361335132 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 361335132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

361335132 is an abundant number, since it is smaller than the sum of its proper divisors (629327268).

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

361335132 is a wasteful number, since it uses less digits than its factorization.

361335132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 361335132 is about 19008.8172172810. The cubic root of 361335132 is about 712.2570059650.

Adding to 361335132 its reverse (231533163), we get a palindrome (592868295).

The spelling of 361335132 in words is "three hundred sixty-one million, three hundred thirty-five thousand, one hundred thirty-two".