181604052 has 192 divisors, whose sum is σ = 580608000. Its totient is φ = 47931264.

The previous prime is 181604039. The next prime is 181604053. The reversal of 181604052 is 250406181.

181604052 is a `hidden beast` number, since 1 + 8 + 1 + 604 + 0 + 52 = 666.

181604052 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181604053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674974 + ... + 675242.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^181604052 is an apocalyptic number.

181604052 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 181604052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

181604052 is an abundant number, since it is smaller than the sum of its proper divisors (399003948).

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

181604052 is a wasteful number, since it uses less digits than its factorization.

181604052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 181604052 is about 13476.0547639137. The cubic root of 181604052 is about 566.2938495055.

The spelling of 181604052 in words is "one hundred eighty-one million, six hundred four thousand, fifty-two".