137823469728 has 240 divisors, whose sum is σ = 427893129216. Its totient is φ = 38833966080.

The previous prime is 137823469727. The next prime is 137823469747. The reversal of 137823469728 is 827964328731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137823469727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16822113 + ... + 16830303.

Almost surely, 2^137823469728 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 137823469728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213946564608).

137823469728 is an abundant number, since it is smaller than the sum of its proper divisors (290069659488).

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

137823469728 is an frugal number, since it uses more digits than its factorization.

137823469728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305 (or 8276 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 137823469728 in words is "one hundred thirty-seven billion, eight hundred twenty-three million, four hundred sixty-nine thousand, seven hundred twenty-eight".