137679320205 has 192 divisors, whose sum is σ = 286254259200. Its totient is φ = 61167052800.

The previous prime is 137679320201. The next prime is 137679320213. The reversal of 137679320205 is 502023976731.

137679320205 is a `hidden beast` number, since 1 + 376 + 79 + 3 + 2 + 0 + 205 = 666.

It is not a de Polignac number, because 137679320205 - 2² = 137679320201 is a prime.

It is a super-2 number, since 2×137679320205² (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 not an unprimeable number, because it can be changed into a prime (137679320201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79998745 + ... + 80000465.

It is an arithmetic number, because the mean of its divisors is an integer number (1490907600).

Almost surely, 2^137679320205 is an apocalyptic number.

137679320205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137679320205 is an abundant number, since it is smaller than the sum of its proper divisors (148574938995).

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

137679320205 is a wasteful number, since it uses less digits than its factorization.

137679320205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 137679320205 in words is "one hundred thirty-seven billion, six hundred seventy-nine million, three hundred twenty thousand, two hundred five".