185381352 has 128 divisors (see below), whose sum is σ = 560649600. Its totient is φ = 56415744.

The previous prime is 185381351. The next prime is 185381389. The reversal of 185381352 is 253183581.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (185381351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300148 + ... + 300764.

It is an arithmetic number, because the mean of its divisors is an integer number (4380075).

Almost surely, 2^185381352 is an apocalyptic number.

185381352 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 185381352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280324800).

185381352 is an abundant number, since it is smaller than the sum of its proper divisors (375268248).

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

185381352 is a wasteful number, since it uses less digits than its factorization.

185381352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 185381352 is about 13615.4820700554. The cubic root of 185381352 is about 570.1931755218.

The spelling of 185381352 in words is "one hundred eighty-five million, three hundred eighty-one thousand, three hundred fifty-two".