185130000 has 450 divisors, whose sum is σ = 753494742. Its totient is φ = 42240000.

The previous prime is 185129993. The next prime is 185130031. The reversal of 185130000 is 31581.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 47114496 + 138015504 = 6864^2 + 11748^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 10889992 + ... + 10890008.

Almost surely, 2^185130000 is an apocalyptic number.

185130000 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 185130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376747371).

185130000 is an abundant number, since it is smaller than the sum of its proper divisors (568364742).

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

185130000 is a wasteful number, since it uses less digits than its factorization.

185130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 185130000 is about 13606.2485645383. The cubic root of 185130000 is about 569.9353573969.

Adding to 185130000 its reverse (31581), we get a palindrome (185161581).

The spelling of 185130000 in words is "one hundred eighty-five million, one hundred thirty thousand".