137314680984096 has 384 divisors, whose sum is σ = 450727412889600. Its totient is φ = 35560341135360.

The previous prime is 137314680984077. The next prime is 137314680984119. The reversal of 137314680984096 is 690489086413731.

It is a super-2 number, since 2×137314680984096² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137314680984096.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16788684135 + ... + 16788692313.

It is an arithmetic number, because the mean of its divisors is an integer number (1173769304400).

Almost surely, 2^{137314680984096} is an apocalyptic number.

137314680984096 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 137314680984096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225363706444800).

137314680984096 is an abundant number, since it is smaller than the sum of its proper divisors (313412731905504).

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

137314680984096 is a wasteful number, since it uses less digits than its factorization.

137314680984096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14672 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 137314680984096 in words is "one hundred thirty-seven trillion, three hundred fourteen billion, six hundred eighty million, nine hundred eighty-four thousand, ninety-six".