137703763013760 has 768 divisors, whose sum is σ = 496712537193600. Its totient is φ = 36454166691840.

The previous prime is 137703763013753. The next prime is 137703763013779. The reversal of 137703763013760 is 67310367307731.

137703763013760 is a `hidden beast` number, since 13 + 7 + 70 + 376 + 3 + 0 + 137 + 60 = 666.

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 = 137703763013697 and 137703763013706.

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, 17844205422 + ... + 17844213138.

Almost surely, 2^{137703763013760} is an apocalyptic number.

137703763013760 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 137703763013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248356268596800).

137703763013760 is an abundant number, since it is smaller than the sum of its proper divisors (359008774179840).

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

137703763013760 is an equidigital number, since it uses as much as digits as its factorization.

137703763013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 7001316, while the sum is 54.

The spelling of 137703763013760 in words is "one hundred thirty-seven trillion, seven hundred three billion, seven hundred sixty-three million, thirteen thousand, seven hundred sixty".