137963792943648 has 576 divisors, whose sum is σ = 494036998640640. Its totient is φ = 36994547930112.

The previous prime is 137963792943547. The next prime is 137963792943679. The reversal of 137963792943648 is 846349297369731.

137963792943648 is a `hidden beast` number, since 1 + 3 + 7 + 96 + 3 + 7 + 92 + 9 + 436 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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, 110036890 + ... + 111283622.

It is an arithmetic number, because the mean of its divisors is an integer number (857703122640).

Almost surely, 2^{137963792943648} is an apocalyptic number.

137963792943648 is a gapful number since it is divisible by the number (18) 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 137963792943648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247018499320320).

137963792943648 is an abundant number, since it is smaller than the sum of its proper divisors (356073205696992).

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

137963792943648 is a wasteful number, since it uses less digits than its factorization.

137963792943648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246891 (or 1246871 counting only the distinct ones).

The product of its digits is 8888527872, while the sum is 81.

The spelling of 137963792943648 in words is "one hundred thirty-seven trillion, nine hundred sixty-three billion, seven hundred ninety-two million, nine hundred forty-three thousand, six hundred forty-eight".