137327064681600 has 768 divisors, whose sum is σ = 536482020096000. Its totient is φ = 34204488192000.

The previous prime is 137327064681523. The next prime is 137327064681607. The reversal of 137327064681600 is 6186460723731.

It is a happy number.

137327064681600 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 27 + 0 + 6 + 4 + 6 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137327064681607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115964485 + ... + 117142715.

It is an arithmetic number, because the mean of its divisors is an integer number (698544297000).

Almost surely, 2^{137327064681600} is an apocalyptic number.

137327064681600 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 137327064681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268241010048000).

137327064681600 is an abundant number, since it is smaller than the sum of its proper divisors (399154955414400).

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

137327064681600 is a wasteful number, since it uses less digits than its factorization.

137327064681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178354 (or 1178331 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 137327064681600 in words is "one hundred thirty-seven trillion, three hundred twenty-seven billion, sixty-four million, six hundred eighty-one thousand, six hundred".