181649952 has 240 divisors, whose sum is σ = 610327872. Its totient is φ = 52462080.

The previous prime is 181649933. The next prime is 181649959. The reversal of 181649952 is 259946181.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 181649898 and 181649907.

It is not an unprimeable number, because it can be changed into a prime (181649959) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 655638 + ... + 655914.

Almost surely, 2^181649952 is an apocalyptic number.

181649952 is a gapful number since it is divisible by the number (12) 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 181649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305163936).

181649952 is an abundant number, since it is smaller than the sum of its proper divisors (428677920).

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

181649952 is a wasteful number, since it uses less digits than its factorization.

181649952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 181649952 is about 13477.7576770025. The cubic root of 181649952 is about 566.3415553025.

The spelling of 181649952 in words is "one hundred eighty-one million, six hundred forty-nine thousand, nine hundred fifty-two".