137727387985728 has 224 divisors, whose sum is σ = 396178480874880. Its totient is φ = 42203728896000.

The previous prime is 137727387985727. The next prime is 137727387985729. The reversal of 137727387985728 is 827589783727731.

It is an interprime number because it is at equal distance from previous prime (137727387985727) and next prime (137727387985729).

It is a super-3 number, since 3×137727387985728³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137727387985723) 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 31 ways as a sum of consecutive naturals, for example, 38863978 + ... + 42259478.

Almost surely, 2^{137727387985728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137727387985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198089240437440).

137727387985728 is an abundant number, since it is smaller than the sum of its proper divisors (258451092889152).

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

137727387985728 is an equidigital number, since it uses as much as digits as its factorization.

137727387985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395610 (or 3395566 counting only the distinct ones).

The product of its digits is 13940398080, while the sum is 84.

The spelling of 137727387985728 in words is "one hundred thirty-seven trillion, seven hundred twenty-seven billion, three hundred eighty-seven million, nine hundred eighty-five thousand, seven hundred twenty-eight".