1803145536 has 252 divisors, whose sum is σ = 5672730336. Its totient is φ = 566818560.

The previous prime is 1803145523. The next prime is 1803145541. The reversal of 1803145536 is 6355413081.

1803145536 is a `hidden beast` number, since 1 + 80 + 3 + 1 + 45 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1803145536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25396381 + ... + 25396451.

Almost surely, 2^1803145536 is an apocalyptic number.

1803145536 is a gapful number since it is divisible by the number (16) 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 1803145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836365168).

1803145536 is an abundant number, since it is smaller than the sum of its proper divisors (3869584800).

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

1803145536 is an frugal number, since it uses more digits than its factorization.

1803145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1803145536 is about 42463.4611872372. The cubic root of 1803145536 is about 1217.1485714017.

The spelling of 1803145536 in words is "one billion, eight hundred three million, one hundred forty-five thousand, five hundred thirty-six".