181283040 has 216 divisors, whose sum is σ = 644107464. Its totient is φ = 46425600.

The previous prime is 181283029. The next prime is 181283051. The reversal of 181283040 is 40382181.

It is an interprime number because it is at equal distance from previous prime (181283029) and next prime (181283051).

It is a junction number, because it is equal to n+sod(n) for n = 181282995 and 181283013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1383775 + ... + 1383905.

It is an arithmetic number, because the mean of its divisors is an integer number (2981979).

Almost surely, 2^181283040 is an apocalyptic number.

181283040 is a gapful number since it is divisible by the number (10) 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 181283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322053732).

181283040 is an abundant number, since it is smaller than the sum of its proper divisors (462824424).

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

181283040 is a wasteful number, since it uses less digits than its factorization.

181283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 181283040 is about 13464.1390367153. The cubic root of 181283040 is about 565.9599833529.

The spelling of 181283040 in words is "one hundred eighty-one million, two hundred eighty-three thousand, forty".