137664168516672 has 448 divisors, whose sum is σ = 435584695910400. Its totient is φ = 37560694579200.

The previous prime is 137664168516659. The next prime is 137664168516689. The reversal of 137664168516672 is 276615861466731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 137664168516597 and 137664168516606.

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, 424309329 + ... + 424633647.

Almost surely, 2^{137664168516672} is an apocalyptic number.

137664168516672 is a gapful number since it is divisible by the number (12) 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 137664168516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217792347955200).

137664168516672 is an abundant number, since it is smaller than the sum of its proper divisors (297920527393728).

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

137664168516672 is a wasteful number, since it uses less digits than its factorization.

137664168516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324554 (or 324544 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 69.

The spelling of 137664168516672 in words is "one hundred thirty-seven trillion, six hundred sixty-four billion, one hundred sixty-eight million, five hundred sixteen thousand, six hundred seventy-two".