137104320 has 224 divisors, whose sum is σ = 477536256. Its totient is φ = 33177600.

The previous prime is 137104309. The next prime is 137104321. The reversal of 137104320 is 23401731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137104321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505785 + ... + 506055.

Almost surely, 2^137104320 is an apocalyptic number.

137104320 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 137104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238768128).

137104320 is an abundant number, since it is smaller than the sum of its proper divisors (340431936).

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

137104320 is a wasteful number, since it uses less digits than its factorization.

137104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 137104320 is about 11709.1553922561. The cubic root of 137104320 is about 515.6444880054.

The spelling of 137104320 in words is "one hundred thirty-seven million, one hundred four thousand, three hundred twenty".