137382388865280 has 1008 divisors, whose sum is σ = 533553688634736. Its totient is φ = 33676166430720.

The previous prime is 137382388865261. The next prime is 137382388865297. The reversal of 137382388865280 is 82568883283731.

137382388865280 is a `hidden beast` number, since 1 + 3 + 7 + 38 + 238 + 8 + 86 + 5 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23414295124224 + 113968093741056 = 4838832^2 + 10675584^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 137382388865199 and 137382388865208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2923441464 + ... + 2923488456.

Almost surely, 2^{137382388865280} is an apocalyptic number.

137382388865280 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 137382388865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266776844317368).

137382388865280 is an abundant number, since it is smaller than the sum of its proper divisors (396171299769456).

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

137382388865280 is an equidigital number, since it uses as much as digits as its factorization.

137382388865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47286 (or 47257 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 137382388865280 in words is "one hundred thirty-seven trillion, three hundred eighty-two billion, three hundred eighty-eight million, eight hundred sixty-five thousand, two hundred eighty".