361630152 has 96 divisors (see below), whose sum is σ = 1062243000. Its totient is φ = 110481408.

The previous prime is 361630141. The next prime is 361630153. The reversal of 361630152 is 251036163.

361630152 is a `hidden beast` number, since 3 + 616 + 30 + 15 + 2 = 666.

361630152 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 4 ways, for example, as 192265956 + 169364196 = 13866^2 + 13014^2 .

It is not an unprimeable number, because it can be changed into a prime (361630153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138168 + ... + 140760.

Almost surely, 2^361630152 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 361630152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531121500).

361630152 is an abundant number, since it is smaller than the sum of its proper divisors (700612848).

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

361630152 is a wasteful number, since it uses less digits than its factorization.

361630152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 361630152 is about 19016.5757169896. The cubic root of 361630152 is about 712.4507991880.

The spelling of 361630152 in words is "three hundred sixty-one million, six hundred thirty thousand, one hundred fifty-two".