190013800 has 72 divisors (see below), whose sum is σ = 459554850. Its totient is φ = 72979200.

The previous prime is 190013767. The next prime is 190013839. The reversal of 190013800 is 8310091.

It can be written as a sum of positive squares in 9 ways, for example, as 31203396 + 158810404 = 5586^2 + 12602^2 .

It is a super-2 number, since 2×190013800² = 72210488380880000, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1049710 + ... + 1049890.

Almost surely, 2^190013800 is an apocalyptic number.

190013800 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 190013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229777425).

190013800 is an abundant number, since it is smaller than the sum of its proper divisors (269541050).

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

190013800 is a wasteful number, since it uses less digits than its factorization.

190013800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 190013800 is about 13784.5493216137. The cubic root of 190013800 is about 574.9036259399.

Adding to 190013800 its reverse (8310091), we get a palindrome (198323891).

It can be divided in two parts, 19001 and 3800, that added together give a square (22801 = 151²).

The spelling of 190013800 in words is "one hundred ninety million, thirteen thousand, eight hundred".