1905140000 has 60 divisors (see below), whose sum is σ = 4686979374. Its totient is φ = 762048000.

The previous prime is 1905139991. The next prime is 1905140009. The reversal of 1905140000 is 415091.

It is an interprime number because it is at equal distance from previous prime (1905139991) and next prime (1905140009).

It can be written as a sum of positive squares in 5 ways, for example, as 46840336 + 1858299664 = 6844^2 + 43108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1905140009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27629 + ... + 67628.

Almost surely, 2^1905140000 is an apocalyptic number.

1905140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1905140000 is an abundant number, since it is smaller than the sum of its proper divisors (2781839374).

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

1905140000 is an frugal number, since it uses more digits than its factorization.

1905140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95287 (or 95264 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1905140000 is about 43647.9094573841. The cubic root of 1905140000 is about 1239.6782030036.

Adding to 1905140000 its reverse (415091), we get a palindrome (1905555091).

The spelling of 1905140000 in words is "one billion, nine hundred five million, one hundred forty thousand".