137177668368 has 160 divisors (see below), whose sum is σ = 424224375680. Its totient is φ = 42190087680.

The previous prime is 137177668361. The next prime is 137177668391. The reversal of 137177668368 is 863866771731.

137177668368 is a `hidden beast` number, since 1 + 371 + 77 + 66 + 83 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (137177668361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18703230 + ... + 18710562.

It is an arithmetic number, because the mean of its divisors is an integer number (2651402348).

Almost surely, 2^137177668368 is an apocalyptic number.

137177668368 is a gapful number since it is divisible by the number (18) 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 137177668368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212112187840).

137177668368 is an abundant number, since it is smaller than the sum of its proper divisors (287046707312).

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

137177668368 is a wasteful number, since it uses less digits than its factorization.

137177668368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10682 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 137177668368 in words is "one hundred thirty-seven billion, one hundred seventy-seven million, six hundred sixty-eight thousand, three hundred sixty-eight".