137673856320 has 896 divisors, whose sum is σ = 612510474240. Its totient is φ = 25254789120.

The previous prime is 137673856289. The next prime is 137673856321. The reversal of 137673856320 is 23658376731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137673856321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22098966 + ... + 22105194.

It is an arithmetic number, because the mean of its divisors is an integer number (683605440).

Almost surely, 2^137673856320 is an apocalyptic number.

137673856320 is a gapful number since it is divisible by the number (10) 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 137673856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306255237120).

137673856320 is an abundant number, since it is smaller than the sum of its proper divisors (474836617920).

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

137673856320 is a wasteful number, since it uses less digits than its factorization.

137673856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 137673856320 in words is "one hundred thirty-seven billion, six hundred seventy-three million, eight hundred fifty-six thousand, three hundred twenty".