137338306560 has 1440 divisors, whose sum is σ = 618305425920. Its totient is φ = 27405582336.

The previous prime is 137338306531. The next prime is 137338306571. The reversal of 137338306560 is 65603833731.

137338306560 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 3 + 83 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1543126996 + ... + 1543127084.

It is an arithmetic number, because the mean of its divisors is an integer number (429378768).

Almost surely, 2^137338306560 is an apocalyptic number.

137338306560 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 137338306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309152712960).

137338306560 is an abundant number, since it is smaller than the sum of its proper divisors (480967119360).

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

137338306560 is a wasteful number, since it uses less digits than its factorization.

137338306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 137338306560 in words is "one hundred thirty-seven billion, three hundred thirty-eight million, three hundred six thousand, five hundred sixty".