137601705346560 has 3840 divisors, whose sum is σ = 644903023564800. Its totient is φ = 27468090703872.

The previous prime is 137601705346529. The next prime is 137601705346561. The reversal of 137601705346560 is 65643507106731.

137601705346560 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 0 + 1 + 70 + 5 + 3 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 137601705346497 and 137601705346506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137601705346561) 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 383 ways as a sum of consecutive naturals, for example, 181772397702 + ... + 181772398458.

It is an arithmetic number, because the mean of its divisors is an integer number (167943495720).

Almost surely, 2^{137601705346560} is an apocalyptic number.

137601705346560 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 137601705346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322451511782400).

137601705346560 is an abundant number, since it is smaller than the sum of its proper divisors (507301318218240).

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

137601705346560 is an frugal number, since it uses more digits than its factorization.

137601705346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 137601705346560 in words is "one hundred thirty-seven trillion, six hundred one billion, seven hundred five million, three hundred forty-six thousand, five hundred sixty".