181142416 has 80 divisors (see below), whose sum is σ = 440944000. Its totient is φ = 71632512.

The previous prime is 181142383. The next prime is 181142431. The reversal of 181142416 is 614241181.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70075 + ... + 72613.

It is an arithmetic number, because the mean of its divisors is an integer number (5511800).

Almost surely, 2^181142416 is an apocalyptic number.

181142416 is a gapful number since it is divisible by the number (16) 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 181142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220472000).

181142416 is an abundant number, since it is smaller than the sum of its proper divisors (259801584).

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

181142416 is a wasteful number, since it uses less digits than its factorization.

181142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2561 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 181142416 is about 13458.9158552983. The cubic root of 181142416 is about 565.8136042530.

Adding to 181142416 its reverse (614241181), we get a palindrome (795383597).

The spelling of 181142416 in words is "one hundred eighty-one million, one hundred forty-two thousand, four hundred sixteen".