209013137040 has 80 divisors (see below), whose sum is σ = 649079884800. Its totient is φ = 55638844416.

The previous prime is 209013137017. The next prime is 209013137059. The reversal of 209013137040 is 40731310902.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 209013136989 and 209013137007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628720 + ... + 901839.

It is an arithmetic number, because the mean of its divisors is an integer number (8113498560).

Almost surely, 2^209013137040 is an apocalyptic number.

209013137040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209013137040 is an abundant number, since it is smaller than the sum of its proper divisors (440066747760).

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

209013137040 is a wasteful number, since it uses less digits than its factorization.

209013137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531144 (or 1531138 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

Adding to 209013137040 its reverse (40731310902), we get a palindrome (249744447942).

The spelling of 209013137040 in words is "two hundred nine billion, thirteen million, one hundred thirty-seven thousand, forty".