361132128 has 288 divisors, whose sum is σ = 1264273920. Its totient is φ = 98219520.

The previous prime is 361132117. The next prime is 361132133. The reversal of 361132128 is 821231163.

It is a happy number.

361132128 is a `hidden beast` number, since 3 + 611 + 3 + 21 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5086333 + ... + 5086403.

It is an arithmetic number, because the mean of its divisors is an integer number (4389840).

Almost surely, 2^361132128 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 361132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632136960).

361132128 is an abundant number, since it is smaller than the sum of its proper divisors (903141792).

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

361132128 is a wasteful number, since it uses less digits than its factorization.

361132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 361132128 is about 19003.4767345347. The cubic root of 361132128 is about 712.1235950908.

The spelling of 361132128 in words is "three hundred sixty-one million, one hundred thirty-two thousand, one hundred twenty-eight".