137710481965056 has 4560 divisors, whose sum is σ = 604789297530880. Its totient is φ = 30270711398400.

The previous prime is 137710481965051. The next prime is 137710481965081. The reversal of 137710481965056 is 650569184017731.

137710481965056 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 10 + 481 + 96 + 5 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 137710481964984 and 137710481965002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137710481965051) 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 239 ways as a sum of consecutive naturals, for example, 4442273611761 + ... + 4442273611791.

Almost surely, 2^{137710481965056} is an apocalyptic number.

137710481965056 is a gapful number since it is divisible by the number (16) 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 137710481965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302394648765440).

137710481965056 is an abundant number, since it is smaller than the sum of its proper divisors (467078815565824).

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

137710481965056 is an equidigital number, since it uses as much as digits as its factorization.

137710481965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 137710481965056 in words is "one hundred thirty-seven trillion, seven hundred ten billion, four hundred eighty-one million, nine hundred sixty-five thousand, fifty-six".