137730234189600 has 1008 divisors, whose sum is σ = 543305773080000. Its totient is φ = 33877414287360.

The previous prime is 137730234189547. The next prime is 137730234189619. The reversal of 137730234189600 is 6981432037731.

137730234189600 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 3 + 0 + 23 + 4 + 1 + 8 + 9 + 600 = 666.

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

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 11364812341 + ... + 11364824459.

It is an arithmetic number, because the mean of its divisors is an integer number (538993822500).

Almost surely, 2^{137730234189600} is an apocalyptic number.

137730234189600 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 137730234189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271652886540000).

137730234189600 is an abundant number, since it is smaller than the sum of its proper divisors (405575538890400).

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

137730234189600 is a wasteful number, since it uses less digits than its factorization.

137730234189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669 (or 13641 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 137730234189600 in words is "one hundred thirty-seven trillion, seven hundred thirty billion, two hundred thirty-four million, one hundred eighty-nine thousand, six hundred".