137163476234664 has 256 divisors, whose sum is σ = 424994798592000. Its totient is φ = 40640116158720.

The previous prime is 137163476234663. The next prime is 137163476234669. The reversal of 137163476234664 is 466432674361731.

137163476234664 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 63 + 476 + 2 + 3 + 46 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (137163476234663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15786214 + ... + 22880810.

It is an arithmetic number, because the mean of its divisors is an integer number (1660135932000).

Almost surely, 2^{137163476234664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137163476234664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212497399296000).

137163476234664 is an abundant number, since it is smaller than the sum of its proper divisors (287831322357336).

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

137163476234664 is a wasteful number, since it uses less digits than its factorization.

137163476234664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094805 (or 7094795 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 63.

The spelling of 137163476234664 in words is "one hundred thirty-seven trillion, one hundred sixty-three billion, four hundred seventy-six million, two hundred thirty-four thousand, six hundred sixty-four".