181829130 has 128 divisors (see below), whose sum is σ = 524275200. Its totient is φ = 39481344.

The previous prime is 181829117. The next prime is 181829143. The reversal of 181829130 is 31928181.

It is an interprime number because it is at equal distance from previous prime (181829117) and next prime (181829143).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 181829091 and 181829100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444366 + ... + 444774.

It is an arithmetic number, because the mean of its divisors is an integer number (4095900).

Almost surely, 2^181829130 is an apocalyptic number.

181829130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 181829130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262137600).

181829130 is an abundant number, since it is smaller than the sum of its proper divisors (342446070).

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

181829130 is a wasteful number, since it uses less digits than its factorization.

181829130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 181829130 is about 13484.4032126008. The cubic root of 181829130 is about 566.5277056415.

The spelling of 181829130 in words is "one hundred eighty-one million, eight hundred twenty-nine thousand, one hundred thirty".