137322398304 has 768 divisors, whose sum is σ = 514733506560. Its totient is φ = 34644879360.

The previous prime is 137322398287. The next prime is 137322398309. The reversal of 137322398304 is 403893223731.

137322398304 is a `hidden beast` number, since 1 + 37 + 3 + 223 + 98 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137322398304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137322398309) 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, 251046159 + ... + 251046705.

It is an arithmetic number, because the mean of its divisors is an integer number (670225920).

Almost surely, 2^137322398304 is an apocalyptic number.

137322398304 is a gapful number since it is divisible by the number (14) 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 137322398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257366753280).

137322398304 is an abundant number, since it is smaller than the sum of its proper divisors (377411108256).

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

137322398304 is a wasteful number, since it uses less digits than its factorization.

137322398304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 137322398304 in words is "one hundred thirty-seven billion, three hundred twenty-two million, three hundred ninety-eight thousand, three hundred four".