137823635205 has 48 divisors (see below), whose sum is σ = 247182624000. Its totient is φ = 70956724608.

The previous prime is 137823635197. The next prime is 137823635233. The reversal of 137823635205 is 502536328731.

137823635205 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 2 + 3 + 635 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 137823635205 - 2³ = 137823635197 is a prime.

It is a super-2 number, since 2×137823635205² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9726916 + ... + 9741074.

It is an arithmetic number, because the mean of its divisors is an integer number (5149638000).

Almost surely, 2^137823635205 is an apocalyptic number.

137823635205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137823635205 is a deficient number, since it is larger than the sum of its proper divisors (109358988795).

137823635205 is a wasteful number, since it uses less digits than its factorization.

137823635205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21658 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 137823635205 in words is "one hundred thirty-seven billion, eight hundred twenty-three million, six hundred thirty-five thousand, two hundred five".