181405056 has 192 divisors, whose sum is σ = 580469760. Its totient is φ = 49996800.

The previous prime is 181405031. The next prime is 181405057. The reversal of 181405056 is 650504181.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181405057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583141 + ... + 583451.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^181405056 is an apocalyptic number.

181405056 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 181405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290234880).

181405056 is an abundant number, since it is smaller than the sum of its proper divisors (399064704).

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

181405056 is a wasteful number, since it uses less digits than its factorization.

181405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 181405056 is about 13468.6694220327. The cubic root of 181405056 is about 566.0869315880.

The spelling of 181405056 in words is "one hundred eighty-one million, four hundred five thousand, fifty-six".