1903969152 has 192 divisors, whose sum is σ = 5824269360. Its totient is φ = 618762240.

The previous prime is 1903969147. The next prime is 1903969159. The reversal of 1903969152 is 2519693091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1903969098 and 1903969107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1903969159) 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 23 ways as a sum of consecutive naturals, for example, 1274518 + ... + 1276010.

Almost surely, 2^1903969152 is an apocalyptic number.

1903969152 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 1903969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912134680).

1903969152 is an abundant number, since it is smaller than the sum of its proper divisors (3920300208).

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

1903969152 is an equidigital number, since it uses as much as digits as its factorization.

1903969152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1903969152 is about 43634.4949781707. The cubic root of 1903969152 is about 1239.4241932909.

The spelling of 1903969152 in words is "one billion, nine hundred three million, nine hundred sixty-nine thousand, one hundred fifty-two".