1983509136 has 120 divisors (see below), whose sum is σ = 6717320064. Its totient is φ = 533376000.

The previous prime is 1983509089. The next prime is 1983509137. The reversal of 1983509136 is 6319053891.

1983509136 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 509 + 136 = 666.

1983509136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1983509091 and 1983509100.

It is not an unprimeable number, because it can be changed into a prime (1983509137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40740 + ... + 75011.

Almost surely, 2^1983509136 is an apocalyptic number.

1983509136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1983509136 is an abundant number, since it is smaller than the sum of its proper divisors (4733810928).

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

1983509136 is a wasteful number, since it uses less digits than its factorization.

1983509136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115789 (or 115780 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1983509136 is about 44536.6044507212. The cubic root of 1983509136 is about 1256.4486240037.

The spelling of 1983509136 in words is "one billion, nine hundred eighty-three million, five hundred nine thousand, one hundred thirty-six".