1999133136 has 800 divisors, whose sum is σ = 8227473408. Its totient is φ = 451630080.

The previous prime is 1999133093. The next prime is 1999133141. The reversal of 1999133136 is 6313319991.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1999133091 and 1999133100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29837775 + ... + 29837841.

Almost surely, 2^1999133136 is an apocalyptic number.

1999133136 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 1999133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113736704).

1999133136 is an abundant number, since it is smaller than the sum of its proper divisors (6228340272).

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

1999133136 is a wasteful number, since it uses less digits than its factorization.

1999133136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 1999133136 is about 44711.6666654241. Note that the first 5 decimals coincide. The cubic root of 1999133136 is about 1259.7389935558.

The spelling of 1999133136 in words is "one billion, nine hundred ninety-nine million, one hundred thirty-three thousand, one hundred thirty-six".